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Finding the Fourth Proportional to 487.61, 730.96 and 162.90

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Solution

The fourth proportional to 487.61, 730.96 and 162.90 is: 244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.61 : 730.96 = 162.90 : x
  2. Step 2: Convert to fraction form
    487.61/730.96 = 162.90/x
  3. Step 3: Cross multiply
    487.61x = 730.96 × 162.90
  4. Step 4: Simplify right side
    487.61x = 119,072.98
  5. Step 5: Solve for x
    x = 119,072.98/487.61
  6. Step 6: Final answer
    x = 244.20

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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.