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Finding the Fourth Proportional to 360.14, 497.02 and 202.78

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Solution

The fourth proportional to 360.14, 497.02 and 202.78 is: 279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.14 : 497.02 = 202.78 : x
  2. Step 2: Convert to fraction form
    360.14/497.02 = 202.78/x
  3. Step 3: Cross multiply
    360.14x = 497.02 × 202.78
  4. Step 4: Simplify right side
    360.14x = 100,785.72
  5. Step 5: Solve for x
    x = 100,785.72/360.14
  6. Step 6: Final answer
    x = 279.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.