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Finding the Fourth Proportional to 485.06, 727.38 and 160.38

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Solution

The fourth proportional to 485.06, 727.38 and 160.38 is: 240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.06 : 727.38 = 160.38 : x
  2. Step 2: Convert to fraction form
    485.06/727.38 = 160.38/x
  3. Step 3: Cross multiply
    485.06x = 727.38 × 160.38
  4. Step 4: Simplify right side
    485.06x = 116,657.20
  5. Step 5: Solve for x
    x = 116,657.20/485.06
  6. Step 6: Final answer
    x = 240.50

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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.