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Finding the Fourth Proportional to 252.59, 378.88 and 122.78

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Solution

The fourth proportional to 252.59, 378.88 and 122.78 is: 184.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.59 : 378.88 = 122.78 : x
  2. Step 2: Convert to fraction form
    252.59/378.88 = 122.78/x
  3. Step 3: Cross multiply
    252.59x = 378.88 × 122.78
  4. Step 4: Simplify right side
    252.59x = 46,519.53
  5. Step 5: Solve for x
    x = 46,519.53/252.59
  6. Step 6: Final answer
    x = 184.17

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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.