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Finding the Fourth Proportional to 182.74, 272.56 and 154.04

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Solution

The fourth proportional to 182.74, 272.56 and 154.04 is: 229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.74 : 272.56 = 154.04 : x
  2. Step 2: Convert to fraction form
    182.74/272.56 = 154.04/x
  3. Step 3: Cross multiply
    182.74x = 272.56 × 154.04
  4. Step 4: Simplify right side
    182.74x = 41,985.14
  5. Step 5: Solve for x
    x = 41,985.14/182.74
  6. Step 6: Final answer
    x = 229.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.