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Finding the Fourth Proportional to 132.88, 200.50 and 132.88

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Solution

The fourth proportional to 132.88, 200.50 and 132.88 is: 200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.88 : 200.50 = 132.88 : x
  2. Step 2: Convert to fraction form
    132.88/200.50 = 132.88/x
  3. Step 3: Cross multiply
    132.88x = 200.50 × 132.88
  4. Step 4: Simplify right side
    132.88x = 26,642.44
  5. Step 5: Solve for x
    x = 26,642.44/132.88
  6. Step 6: Final answer
    x = 200.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.