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Finding the Fourth Proportional to 201.52, 278.10 and 117.49

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Solution

The fourth proportional to 201.52, 278.10 and 117.49 is: 162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.52 : 278.10 = 117.49 : x
  2. Step 2: Convert to fraction form
    201.52/278.10 = 117.49/x
  3. Step 3: Cross multiply
    201.52x = 278.10 × 117.49
  4. Step 4: Simplify right side
    201.52x = 32,673.97
  5. Step 5: Solve for x
    x = 32,673.97/201.52
  6. Step 6: Final answer
    x = 162.14

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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.