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Finding the Fourth Proportional to 628.58, 942.75 and 166.36

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Solution

The fourth proportional to 628.58, 942.75 and 166.36 is: 249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.58 : 942.75 = 166.36 : x
  2. Step 2: Convert to fraction form
    628.58/942.75 = 166.36/x
  3. Step 3: Cross multiply
    628.58x = 942.75 × 166.36
  4. Step 4: Simplify right side
    628.58x = 156,835.30
  5. Step 5: Solve for x
    x = 156,835.30/628.58
  6. Step 6: Final answer
    x = 249.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.