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Finding the Fourth Proportional to 202.53, 279.09 and 147.15

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Solution

The fourth proportional to 202.53, 279.09 and 147.15 is: 202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.53 : 279.09 = 147.15 : x
  2. Step 2: Convert to fraction form
    202.53/279.09 = 147.15/x
  3. Step 3: Cross multiply
    202.53x = 279.09 × 147.15
  4. Step 4: Simplify right side
    202.53x = 41,068.09
  5. Step 5: Solve for x
    x = 41,068.09/202.53
  6. Step 6: Final answer
    x = 202.78

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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.