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Finding the Fourth Proportional to 360.28, 497.18 and 202.90

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Solution

The fourth proportional to 360.28, 497.18 and 202.90 is: 280.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.28 : 497.18 = 202.90 : x
  2. Step 2: Convert to fraction form
    360.28/497.18 = 202.90/x
  3. Step 3: Cross multiply
    360.28x = 497.18 × 202.90
  4. Step 4: Simplify right side
    360.28x = 100,877.82
  5. Step 5: Solve for x
    x = 100,877.82/360.28
  6. Step 6: Final answer
    x = 280.00

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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.