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Finding the Fourth Proportional to 182.46, 251.74 and 108.78

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Solution

The fourth proportional to 182.46, 251.74 and 108.78 is: 150.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.46 : 251.74 = 108.78 : x
  2. Step 2: Convert to fraction form
    182.46/251.74 = 108.78/x
  3. Step 3: Cross multiply
    182.46x = 251.74 × 108.78
  4. Step 4: Simplify right side
    182.46x = 27,384.28
  5. Step 5: Solve for x
    x = 27,384.28/182.46
  6. Step 6: Final answer
    x = 150.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.