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Finding the Fourth Proportional to 148.14, 204.47 and 135.85

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Solution

The fourth proportional to 148.14, 204.47 and 135.85 is: 187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.14 : 204.47 = 135.85 : x
  2. Step 2: Convert to fraction form
    148.14/204.47 = 135.85/x
  3. Step 3: Cross multiply
    148.14x = 204.47 × 135.85
  4. Step 4: Simplify right side
    148.14x = 27,776.57
  5. Step 5: Solve for x
    x = 27,776.57/148.14
  6. Step 6: Final answer
    x = 187.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.