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Finding the Fourth Proportional to 360.24, 497.15 and 202.94

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Solution

The fourth proportional to 360.24, 497.15 and 202.94 is: 280.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.24 : 497.15 = 202.94 : x
  2. Step 2: Convert to fraction form
    360.24/497.15 = 202.94/x
  3. Step 3: Cross multiply
    360.24x = 497.15 × 202.94
  4. Step 4: Simplify right side
    360.24x = 100,891.32
  5. Step 5: Solve for x
    x = 100,891.32/360.24
  6. Step 6: Final answer
    x = 280.06

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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.