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Finding the Fourth Proportional to 201.75, 278.49 and 124.13

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Solution

The fourth proportional to 201.75, 278.49 and 124.13 is: 171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.75 : 278.49 = 124.13 : x
  2. Step 2: Convert to fraction form
    201.75/278.49 = 124.13/x
  3. Step 3: Cross multiply
    201.75x = 278.49 × 124.13
  4. Step 4: Simplify right side
    201.75x = 34,568.96
  5. Step 5: Solve for x
    x = 34,568.96/201.75
  6. Step 6: Final answer
    x = 171.35

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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.