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Finding the Fourth Proportional to 182.97, 274.71 and 106.02

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Solution

The fourth proportional to 182.97, 274.71 and 106.02 is: 159.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.97 : 274.71 = 106.02 : x
  2. Step 2: Convert to fraction form
    182.97/274.71 = 106.02/x
  3. Step 3: Cross multiply
    182.97x = 274.71 × 106.02
  4. Step 4: Simplify right side
    182.97x = 29,124.75
  5. Step 5: Solve for x
    x = 29,124.75/182.97
  6. Step 6: Final answer
    x = 159.18

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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.