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Finding the Fourth Proportional to 182.12, 271.56 and 160.53

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Solution

The fourth proportional to 182.12, 271.56 and 160.53 is: 239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.12 : 271.56 = 160.53 : x
  2. Step 2: Convert to fraction form
    182.12/271.56 = 160.53/x
  3. Step 3: Cross multiply
    182.12x = 271.56 × 160.53
  4. Step 4: Simplify right side
    182.12x = 43,593.13
  5. Step 5: Solve for x
    x = 43,593.13/182.12
  6. Step 6: Final answer
    x = 239.37

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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.