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Finding the Fourth Proportional to 182.68, 274.26 and 101.56

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Solution

The fourth proportional to 182.68, 274.26 and 101.56 is: 152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.68 : 274.26 = 101.56 : x
  2. Step 2: Convert to fraction form
    182.68/274.26 = 101.56/x
  3. Step 3: Cross multiply
    182.68x = 274.26 × 101.56
  4. Step 4: Simplify right side
    182.68x = 27,853.85
  5. Step 5: Solve for x
    x = 27,853.85/182.68
  6. Step 6: Final answer
    x = 152.47

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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.