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Finding the Fourth Proportional to 249.94, 375.10 and 105.76

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Solution

The fourth proportional to 249.94, 375.10 and 105.76 is: 158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.94 : 375.10 = 105.76 : x
  2. Step 2: Convert to fraction form
    249.94/375.10 = 105.76/x
  3. Step 3: Cross multiply
    249.94x = 375.10 × 105.76
  4. Step 4: Simplify right side
    249.94x = 39,670.58
  5. Step 5: Solve for x
    x = 39,670.58/249.94
  6. Step 6: Final answer
    x = 158.72

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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.