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Finding the Fourth Proportional to 259.19, 356.76 and 231.55

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Solution

The fourth proportional to 259.19, 356.76 and 231.55 is: 318.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.19 : 356.76 = 231.55 : x
  2. Step 2: Convert to fraction form
    259.19/356.76 = 231.55/x
  3. Step 3: Cross multiply
    259.19x = 356.76 × 231.55
  4. Step 4: Simplify right side
    259.19x = 82,607.78
  5. Step 5: Solve for x
    x = 82,607.78/259.19
  6. Step 6: Final answer
    x = 318.72

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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.