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Finding the Fourth Proportional to 407.52, 610.90 and 147.46

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Solution

The fourth proportional to 407.52, 610.90 and 147.46 is: 221.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.52 : 610.90 = 147.46 : x
  2. Step 2: Convert to fraction form
    407.52/610.90 = 147.46/x
  3. Step 3: Cross multiply
    407.52x = 610.90 × 147.46
  4. Step 4: Simplify right side
    407.52x = 90,080.26
  5. Step 5: Solve for x
    x = 90,080.26/407.52
  6. Step 6: Final answer
    x = 221.05

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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.