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Finding the Fourth Proportional to 231.76, 319.80 and 128.24

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Solution

The fourth proportional to 231.76, 319.80 and 128.24 is: 176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.76 : 319.80 = 128.24 : x
  2. Step 2: Convert to fraction form
    231.76/319.80 = 128.24/x
  3. Step 3: Cross multiply
    231.76x = 319.80 × 128.24
  4. Step 4: Simplify right side
    231.76x = 41,011.15
  5. Step 5: Solve for x
    x = 41,011.15/231.76
  6. Step 6: Final answer
    x = 176.96

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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.