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Finding the Fourth Proportional to 202.52, 279.52 and 115.20

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Solution

The fourth proportional to 202.52, 279.52 and 115.20 is: 159.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.52 : 279.52 = 115.20 : x
  2. Step 2: Convert to fraction form
    202.52/279.52 = 115.20/x
  3. Step 3: Cross multiply
    202.52x = 279.52 × 115.20
  4. Step 4: Simplify right side
    202.52x = 32,200.70
  5. Step 5: Solve for x
    x = 32,200.70/202.52
  6. Step 6: Final answer
    x = 159.00

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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.