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Finding the Fourth Proportional to 410.06, 615.32 and 166.53

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Solution

The fourth proportional to 410.06, 615.32 and 166.53 is: 249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.06 : 615.32 = 166.53 : x
  2. Step 2: Convert to fraction form
    410.06/615.32 = 166.53/x
  3. Step 3: Cross multiply
    410.06x = 615.32 × 166.53
  4. Step 4: Simplify right side
    410.06x = 102,470.08
  5. Step 5: Solve for x
    x = 102,470.08/410.06
  6. Step 6: Final answer
    x = 249.89

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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.