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Finding the Fourth Proportional to 182.34, 272.12 and 159.18

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Solution

The fourth proportional to 182.34, 272.12 and 159.18 is: 237.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.34 : 272.12 = 159.18 : x
  2. Step 2: Convert to fraction form
    182.34/272.12 = 159.18/x
  3. Step 3: Cross multiply
    182.34x = 272.12 × 159.18
  4. Step 4: Simplify right side
    182.34x = 43,316.06
  5. Step 5: Solve for x
    x = 43,316.06/182.34
  6. Step 6: Final answer
    x = 237.56

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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.