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Finding the Fourth Proportional to 133.29, 200.16 and 127.52

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Solution

The fourth proportional to 133.29, 200.16 and 127.52 is: 191.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.29 : 200.16 = 127.52 : x
  2. Step 2: Convert to fraction form
    133.29/200.16 = 127.52/x
  3. Step 3: Cross multiply
    133.29x = 200.16 × 127.52
  4. Step 4: Simplify right side
    133.29x = 25,523.40
  5. Step 5: Solve for x
    x = 25,523.40/133.29
  6. Step 6: Final answer
    x = 191.49

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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.