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Finding the Fourth Proportional to 202.14, 278.78 and 132.12

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Solution

The fourth proportional to 202.14, 278.78 and 132.12 is: 182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.14 : 278.78 = 132.12 : x
  2. Step 2: Convert to fraction form
    202.14/278.78 = 132.12/x
  3. Step 3: Cross multiply
    202.14x = 278.78 × 132.12
  4. Step 4: Simplify right side
    202.14x = 36,832.41
  5. Step 5: Solve for x
    x = 36,832.41/202.14
  6. Step 6: Final answer
    x = 182.21

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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.