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Finding the Fourth Proportional to 381.13, 526.02 and 231.78

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Solution

The fourth proportional to 381.13, 526.02 and 231.78 is: 319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.13 : 526.02 = 231.78 : x
  2. Step 2: Convert to fraction form
    381.13/526.02 = 231.78/x
  3. Step 3: Cross multiply
    381.13x = 526.02 × 231.78
  4. Step 4: Simplify right side
    381.13x = 121,920.92
  5. Step 5: Solve for x
    x = 121,920.92/381.13
  6. Step 6: Final answer
    x = 319.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.