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Finding the Fourth Proportional to 485.23, 727.86 and 160.57

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Solution

The fourth proportional to 485.23, 727.86 and 160.57 is: 240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.23 : 727.86 = 160.57 : x
  2. Step 2: Convert to fraction form
    485.23/727.86 = 160.57/x
  3. Step 3: Cross multiply
    485.23x = 727.86 × 160.57
  4. Step 4: Simplify right side
    485.23x = 116,872.48
  5. Step 5: Solve for x
    x = 116,872.48/485.23
  6. Step 6: Final answer
    x = 240.86

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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.