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Finding the Fourth Proportional to 202.53, 279.46 and 115.20

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Solution

The fourth proportional to 202.53, 279.46 and 115.20 is: 158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.53 : 279.46 = 115.20 : x
  2. Step 2: Convert to fraction form
    202.53/279.46 = 115.20/x
  3. Step 3: Cross multiply
    202.53x = 279.46 × 115.20
  4. Step 4: Simplify right side
    202.53x = 32,193.79
  5. Step 5: Solve for x
    x = 32,193.79/202.53
  6. Step 6: Final answer
    x = 158.96

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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.