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Finding the Fourth Proportional to 259.97, 357.99 and 232.32

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Solution

The fourth proportional to 259.97, 357.99 and 232.32 is: 319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.97 : 357.99 = 232.32 : x
  2. Step 2: Convert to fraction form
    259.97/357.99 = 232.32/x
  3. Step 3: Cross multiply
    259.97x = 357.99 × 232.32
  4. Step 4: Simplify right side
    259.97x = 83,168.71
  5. Step 5: Solve for x
    x = 83,168.71/259.97
  6. Step 6: Final answer
    x = 319.92

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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.