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Finding the Fourth Proportional to 252.19, 377.78 and 231.19

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Solution

The fourth proportional to 252.19, 377.78 and 231.19 is: 346.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.19 : 377.78 = 231.19 : x
  2. Step 2: Convert to fraction form
    252.19/377.78 = 231.19/x
  3. Step 3: Cross multiply
    252.19x = 377.78 × 231.19
  4. Step 4: Simplify right side
    252.19x = 87,337.80
  5. Step 5: Solve for x
    x = 87,337.80/252.19
  6. Step 6: Final answer
    x = 346.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.