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Finding the Fourth Proportional to 202.32, 279.13 and 114.97

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Solution

The fourth proportional to 202.32, 279.13 and 114.97 is: 158.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.32 : 279.13 = 114.97 : x
  2. Step 2: Convert to fraction form
    202.32/279.13 = 114.97/x
  3. Step 3: Cross multiply
    202.32x = 279.13 × 114.97
  4. Step 4: Simplify right side
    202.32x = 32,091.58
  5. Step 5: Solve for x
    x = 32,091.58/202.32
  6. Step 6: Final answer
    x = 158.62

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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.