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Finding the Fourth Proportional to 251.38, 378.98 and 233.76

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Solution

The fourth proportional to 251.38, 378.98 and 233.76 is: 352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.38 : 378.98 = 233.76 : x
  2. Step 2: Convert to fraction form
    251.38/378.98 = 233.76/x
  3. Step 3: Cross multiply
    251.38x = 378.98 × 233.76
  4. Step 4: Simplify right side
    251.38x = 88,590.36
  5. Step 5: Solve for x
    x = 88,590.36/251.38
  6. Step 6: Final answer
    x = 352.42

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.