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Finding the Fourth Proportional to 166.89, 249.88 and 152.31

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Solution

The fourth proportional to 166.89, 249.88 and 152.31 is: 228.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.89 : 249.88 = 152.31 : x
  2. Step 2: Convert to fraction form
    166.89/249.88 = 152.31/x
  3. Step 3: Cross multiply
    166.89x = 249.88 × 152.31
  4. Step 4: Simplify right side
    166.89x = 38,059.22
  5. Step 5: Solve for x
    x = 38,059.22/166.89
  6. Step 6: Final answer
    x = 228.05

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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.