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Finding the Fourth Proportional to 406.96, 610.48 and 147.10

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Solution

The fourth proportional to 406.96, 610.48 and 147.10 is: 220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.96 : 610.48 = 147.10 : x
  2. Step 2: Convert to fraction form
    406.96/610.48 = 147.10/x
  3. Step 3: Cross multiply
    406.96x = 610.48 × 147.10
  4. Step 4: Simplify right side
    406.96x = 89,801.61
  5. Step 5: Solve for x
    x = 89,801.61/406.96
  6. Step 6: Final answer
    x = 220.66

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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.