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Finding the Fourth Proportional to 485.06, 727.14 and 160.20

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Solution

The fourth proportional to 485.06, 727.14 and 160.20 is: 240.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.06 : 727.14 = 160.20 : x
  2. Step 2: Convert to fraction form
    485.06/727.14 = 160.20/x
  3. Step 3: Cross multiply
    485.06x = 727.14 × 160.20
  4. Step 4: Simplify right side
    485.06x = 116,487.83
  5. Step 5: Solve for x
    x = 116,487.83/485.06
  6. Step 6: Final answer
    x = 240.15

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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.