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Finding the Fourth Proportional to 488.24, 732.12 and 159.12

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Solution

The fourth proportional to 488.24, 732.12 and 159.12 is: 238.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.24 : 732.12 = 159.12 : x
  2. Step 2: Convert to fraction form
    488.24/732.12 = 159.12/x
  3. Step 3: Cross multiply
    488.24x = 732.12 × 159.12
  4. Step 4: Simplify right side
    488.24x = 116,494.93
  5. Step 5: Solve for x
    x = 116,494.93/488.24
  6. Step 6: Final answer
    x = 238.60

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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.