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Finding the Fourth Proportional to 487.63, 731.56 and 163.00

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Solution

The fourth proportional to 487.63, 731.56 and 163.00 is: 244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.63 : 731.56 = 163.00 : x
  2. Step 2: Convert to fraction form
    487.63/731.56 = 163.00/x
  3. Step 3: Cross multiply
    487.63x = 731.56 × 163.00
  4. Step 4: Simplify right side
    487.63x = 119,240.62
  5. Step 5: Solve for x
    x = 119,240.62/487.63
  6. Step 6: Final answer
    x = 244.53

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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.