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Finding the Fourth Proportional to 201.52, 278.06 and 132.64

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Solution

The fourth proportional to 201.52, 278.06 and 132.64 is: 183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.52 : 278.06 = 132.64 : x
  2. Step 2: Convert to fraction form
    201.52/278.06 = 132.64/x
  3. Step 3: Cross multiply
    201.52x = 278.06 × 132.64
  4. Step 4: Simplify right side
    201.52x = 36,881.88
  5. Step 5: Solve for x
    x = 36,881.88/201.52
  6. Step 6: Final answer
    x = 183.02

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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.