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Finding the Fourth Proportional to 166.54, 249.84 and 148.60

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Solution

The fourth proportional to 166.54, 249.84 and 148.60 is: 222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.54 : 249.84 = 148.60 : x
  2. Step 2: Convert to fraction form
    166.54/249.84 = 148.60/x
  3. Step 3: Cross multiply
    166.54x = 249.84 × 148.60
  4. Step 4: Simplify right side
    166.54x = 37,126.22
  5. Step 5: Solve for x
    x = 37,126.22/166.54
  6. Step 6: Final answer
    x = 222.93

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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.