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Finding the Fourth Proportional to 150.38, 225.62 and 99.23

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Solution

The fourth proportional to 150.38, 225.62 and 99.23 is: 148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.38 : 225.62 = 99.23 : x
  2. Step 2: Convert to fraction form
    150.38/225.62 = 99.23/x
  3. Step 3: Cross multiply
    150.38x = 225.62 × 99.23
  4. Step 4: Simplify right side
    150.38x = 22,386.65
  5. Step 5: Solve for x
    x = 22,386.65/150.38
  6. Step 6: Final answer
    x = 148.87

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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.