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Finding the Fourth Proportional to 407.06, 610.58 and 147.02

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Solution

The fourth proportional to 407.06, 610.58 and 147.02 is: 220.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.06 : 610.58 = 147.02 : x
  2. Step 2: Convert to fraction form
    407.06/610.58 = 147.02/x
  3. Step 3: Cross multiply
    407.06x = 610.58 × 147.02
  4. Step 4: Simplify right side
    407.06x = 89,763.68
  5. Step 5: Solve for x
    x = 89,763.68/407.06
  6. Step 6: Final answer
    x = 220.52

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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.