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Finding the Fourth Proportional to 207.24, 282.30 and 203.19

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Solution

The fourth proportional to 207.24, 282.30 and 203.19 is: 276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.24 : 282.30 = 203.19 : x
  2. Step 2: Convert to fraction form
    207.24/282.30 = 203.19/x
  3. Step 3: Cross multiply
    207.24x = 282.30 × 203.19
  4. Step 4: Simplify right side
    207.24x = 57,360.54
  5. Step 5: Solve for x
    x = 57,360.54/207.24
  6. Step 6: Final answer
    x = 276.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.