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Finding the Fourth Proportional to 182.04, 272.29 and 121.13

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Solution

The fourth proportional to 182.04, 272.29 and 121.13 is: 181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.04 : 272.29 = 121.13 : x
  2. Step 2: Convert to fraction form
    182.04/272.29 = 121.13/x
  3. Step 3: Cross multiply
    182.04x = 272.29 × 121.13
  4. Step 4: Simplify right side
    182.04x = 32,982.49
  5. Step 5: Solve for x
    x = 32,982.49/182.04
  6. Step 6: Final answer
    x = 181.18

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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.