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Finding the Fourth Proportional to 252.86, 377.03 and 252.52

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Solution

The fourth proportional to 252.86, 377.03 and 252.52 is: 376.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.86 : 377.03 = 252.52 : x
  2. Step 2: Convert to fraction form
    252.86/377.03 = 252.52/x
  3. Step 3: Cross multiply
    252.86x = 377.03 × 252.52
  4. Step 4: Simplify right side
    252.86x = 95,206.59
  5. Step 5: Solve for x
    x = 95,206.59/252.86
  6. Step 6: Final answer
    x = 376.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.