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Finding the Fourth Proportional to 231.64, 319.64 and 128.14

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Solution

The fourth proportional to 231.64, 319.64 and 128.14 is: 176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.64 : 319.64 = 128.14 : x
  2. Step 2: Convert to fraction form
    231.64/319.64 = 128.14/x
  3. Step 3: Cross multiply
    231.64x = 319.64 × 128.14
  4. Step 4: Simplify right side
    231.64x = 40,956.75
  5. Step 5: Solve for x
    x = 40,956.75/231.64
  6. Step 6: Final answer
    x = 176.82

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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.