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Finding the Fourth Proportional to 132.78, 200.28 and 127.56

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Solution

The fourth proportional to 132.78, 200.28 and 127.56 is: 192.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.78 : 200.28 = 127.56 : x
  2. Step 2: Convert to fraction form
    132.78/200.28 = 127.56/x
  3. Step 3: Cross multiply
    132.78x = 200.28 × 127.56
  4. Step 4: Simplify right side
    132.78x = 25,547.72
  5. Step 5: Solve for x
    x = 25,547.72/132.78
  6. Step 6: Final answer
    x = 192.41

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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.