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Finding the Fourth Proportional to 149.78, 224.12 and 134.58

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Solution

The fourth proportional to 149.78, 224.12 and 134.58 is: 201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.78 : 224.12 = 134.58 : x
  2. Step 2: Convert to fraction form
    149.78/224.12 = 134.58/x
  3. Step 3: Cross multiply
    149.78x = 224.12 × 134.58
  4. Step 4: Simplify right side
    149.78x = 30,162.07
  5. Step 5: Solve for x
    x = 30,162.07/149.78
  6. Step 6: Final answer
    x = 201.38

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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.