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Finding the Fourth Proportional to 339.92, 510.08 and 147.52

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Solution

The fourth proportional to 339.92, 510.08 and 147.52 is: 221.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.92 : 510.08 = 147.52 : x
  2. Step 2: Convert to fraction form
    339.92/510.08 = 147.52/x
  3. Step 3: Cross multiply
    339.92x = 510.08 × 147.52
  4. Step 4: Simplify right side
    339.92x = 75,247.00
  5. Step 5: Solve for x
    x = 75,247.00/339.92
  6. Step 6: Final answer
    x = 221.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.