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Finding the Fourth Proportional to 488.31, 732.48 and 159.26

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Solution

The fourth proportional to 488.31, 732.48 and 159.26 is: 238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.31 : 732.48 = 159.26 : x
  2. Step 2: Convert to fraction form
    488.31/732.48 = 159.26/x
  3. Step 3: Cross multiply
    488.31x = 732.48 × 159.26
  4. Step 4: Simplify right side
    488.31x = 116,651.40
  5. Step 5: Solve for x
    x = 116,651.40/488.31
  6. Step 6: Final answer
    x = 238.89

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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.