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Finding the Fourth Proportional to 325.04, 487.14 and 142.58

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Solution

The fourth proportional to 325.04, 487.14 and 142.58 is: 213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.04 : 487.14 = 142.58 : x
  2. Step 2: Convert to fraction form
    325.04/487.14 = 142.58/x
  3. Step 3: Cross multiply
    325.04x = 487.14 × 142.58
  4. Step 4: Simplify right side
    325.04x = 69,456.42
  5. Step 5: Solve for x
    x = 69,456.42/325.04
  6. Step 6: Final answer
    x = 213.69

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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.