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Finding the Fourth Proportional to 182.47, 272.52 and 158.17

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Solution

The fourth proportional to 182.47, 272.52 and 158.17 is: 236.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.47 : 272.52 = 158.17 : x
  2. Step 2: Convert to fraction form
    182.47/272.52 = 158.17/x
  3. Step 3: Cross multiply
    182.47x = 272.52 × 158.17
  4. Step 4: Simplify right side
    182.47x = 43,104.49
  5. Step 5: Solve for x
    x = 43,104.49/182.47
  6. Step 6: Final answer
    x = 236.23

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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.