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Finding the Fourth Proportional to 255.13, 382.70 and 62.75

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Solution

The fourth proportional to 255.13, 382.70 and 62.75 is: 94.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.13 : 382.70 = 62.75 : x
  2. Step 2: Convert to fraction form
    255.13/382.70 = 62.75/x
  3. Step 3: Cross multiply
    255.13x = 382.70 × 62.75
  4. Step 4: Simplify right side
    255.13x = 24,014.11
  5. Step 5: Solve for x
    x = 24,014.11/255.13
  6. Step 6: Final answer
    x = 94.13

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Why These Related Problems?

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