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Finding the Fourth Proportional to 150.29, 225.54 and 98.91

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Solution

The fourth proportional to 150.29, 225.54 and 98.91 is: 148.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.29 : 225.54 = 98.91 : x
  2. Step 2: Convert to fraction form
    150.29/225.54 = 98.91/x
  3. Step 3: Cross multiply
    150.29x = 225.54 × 98.91
  4. Step 4: Simplify right side
    150.29x = 22,308.16
  5. Step 5: Solve for x
    x = 22,308.16/150.29
  6. Step 6: Final answer
    x = 148.43

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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.