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Finding the Fourth Proportional to 150.52, 225.30 and 99.20

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Solution

The fourth proportional to 150.52, 225.30 and 99.20 is: 148.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.52 : 225.30 = 99.20 : x
  2. Step 2: Convert to fraction form
    150.52/225.30 = 99.20/x
  3. Step 3: Cross multiply
    150.52x = 225.30 × 99.20
  4. Step 4: Simplify right side
    150.52x = 22,349.76
  5. Step 5: Solve for x
    x = 22,349.76/150.52
  6. Step 6: Final answer
    x = 148.48

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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.