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Finding the Fourth Proportional to 132.63, 200.20 and 132.63

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Solution

The fourth proportional to 132.63, 200.20 and 132.63 is: 200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.63 : 200.20 = 132.63 : x
  2. Step 2: Convert to fraction form
    132.63/200.20 = 132.63/x
  3. Step 3: Cross multiply
    132.63x = 200.20 × 132.63
  4. Step 4: Simplify right side
    132.63x = 26,552.53
  5. Step 5: Solve for x
    x = 26,552.53/132.63
  6. Step 6: Final answer
    x = 200.20

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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.