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Finding the Fourth Proportional to 150.69, 224.49 and 141.38

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Solution

The fourth proportional to 150.69, 224.49 and 141.38 is: 210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.69 : 224.49 = 141.38 : x
  2. Step 2: Convert to fraction form
    150.69/224.49 = 141.38/x
  3. Step 3: Cross multiply
    150.69x = 224.49 × 141.38
  4. Step 4: Simplify right side
    150.69x = 31,737.27
  5. Step 5: Solve for x
    x = 31,737.27/150.69
  6. Step 6: Final answer
    x = 210.61

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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.