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Finding the Fourth Proportional to 231.50, 318.83 and 215.52

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Solution

The fourth proportional to 231.50, 318.83 and 215.52 is: 296.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.50 : 318.83 = 215.52 : x
  2. Step 2: Convert to fraction form
    231.50/318.83 = 215.52/x
  3. Step 3: Cross multiply
    231.50x = 318.83 × 215.52
  4. Step 4: Simplify right side
    231.50x = 68,713.16
  5. Step 5: Solve for x
    x = 68,713.16/231.50
  6. Step 6: Final answer
    x = 296.82

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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.