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Finding the Fourth Proportional to 231.42, 348.88 and 215.76

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Solution

The fourth proportional to 231.42, 348.88 and 215.76 is: 325.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.42 : 348.88 = 215.76 : x
  2. Step 2: Convert to fraction form
    231.42/348.88 = 215.76/x
  3. Step 3: Cross multiply
    231.42x = 348.88 × 215.76
  4. Step 4: Simplify right side
    231.42x = 75,273.81
  5. Step 5: Solve for x
    x = 75,273.81/231.42
  6. Step 6: Final answer
    x = 325.27

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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.