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Finding the Fourth Proportional to 182.88, 274.41 and 101.76

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Solution

The fourth proportional to 182.88, 274.41 and 101.76 is: 152.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.88 : 274.41 = 101.76 : x
  2. Step 2: Convert to fraction form
    182.88/274.41 = 101.76/x
  3. Step 3: Cross multiply
    182.88x = 274.41 × 101.76
  4. Step 4: Simplify right side
    182.88x = 27,923.96
  5. Step 5: Solve for x
    x = 27,923.96/182.88
  6. Step 6: Final answer
    x = 152.69

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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.