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Finding the Fourth Proportional to 360.66, 497.67 and 203.27

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Solution

The fourth proportional to 360.66, 497.67 and 203.27 is: 280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.66 : 497.67 = 203.27 : x
  2. Step 2: Convert to fraction form
    360.66/497.67 = 203.27/x
  3. Step 3: Cross multiply
    360.66x = 497.67 × 203.27
  4. Step 4: Simplify right side
    360.66x = 101,160.93
  5. Step 5: Solve for x
    x = 101,160.93/360.66
  6. Step 6: Final answer
    x = 280.49

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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.