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Finding the Fourth Proportional to 259.96, 391.84 and 243.24

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Solution

The fourth proportional to 259.96, 391.84 and 243.24 is: 366.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.96 : 391.84 = 243.24 : x
  2. Step 2: Convert to fraction form
    259.96/391.84 = 243.24/x
  3. Step 3: Cross multiply
    259.96x = 391.84 × 243.24
  4. Step 4: Simplify right side
    259.96x = 95,311.16
  5. Step 5: Solve for x
    x = 95,311.16/259.96
  6. Step 6: Final answer
    x = 366.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.