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Finding the Fourth Proportional to 255.50, 381.34 and 252.74

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Solution

The fourth proportional to 255.50, 381.34 and 252.74 is: 377.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.50 : 381.34 = 252.74 : x
  2. Step 2: Convert to fraction form
    255.50/381.34 = 252.74/x
  3. Step 3: Cross multiply
    255.50x = 381.34 × 252.74
  4. Step 4: Simplify right side
    255.50x = 96,378.61
  5. Step 5: Solve for x
    x = 96,378.61/255.50
  6. Step 6: Final answer
    x = 377.22

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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.