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Finding the Fourth Proportional to 150.93, 225.02 and 142.38

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Solution

The fourth proportional to 150.93, 225.02 and 142.38 is: 212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.93 : 225.02 = 142.38 : x
  2. Step 2: Convert to fraction form
    150.93/225.02 = 142.38/x
  3. Step 3: Cross multiply
    150.93x = 225.02 × 142.38
  4. Step 4: Simplify right side
    150.93x = 32,038.70
  5. Step 5: Solve for x
    x = 32,038.70/150.93
  6. Step 6: Final answer
    x = 212.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.