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Finding the Fourth Proportional to 150.36, 224.20 and 138.52

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Solution

The fourth proportional to 150.36, 224.20 and 138.52 is: 206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.36 : 224.20 = 138.52 : x
  2. Step 2: Convert to fraction form
    150.36/224.20 = 138.52/x
  3. Step 3: Cross multiply
    150.36x = 224.20 × 138.52
  4. Step 4: Simplify right side
    150.36x = 31,056.18
  5. Step 5: Solve for x
    x = 31,056.18/150.36
  6. Step 6: Final answer
    x = 206.55

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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.