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Finding the Fourth Proportional to 225.84, 338.74 and 71.78

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Solution

The fourth proportional to 225.84, 338.74 and 71.78 is: 107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.84 : 338.74 = 71.78 : x
  2. Step 2: Convert to fraction form
    225.84/338.74 = 71.78/x
  3. Step 3: Cross multiply
    225.84x = 338.74 × 71.78
  4. Step 4: Simplify right side
    225.84x = 24,314.76
  5. Step 5: Solve for x
    x = 24,314.76/225.84
  6. Step 6: Final answer
    x = 107.66

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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.