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Finding the Fourth Proportional to 182.06, 272.14 and 135.89

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Solution

The fourth proportional to 182.06, 272.14 and 135.89 is: 203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.06 : 272.14 = 135.89 : x
  2. Step 2: Convert to fraction form
    182.06/272.14 = 135.89/x
  3. Step 3: Cross multiply
    182.06x = 272.14 × 135.89
  4. Step 4: Simplify right side
    182.06x = 36,981.10
  5. Step 5: Solve for x
    x = 36,981.10/182.06
  6. Step 6: Final answer
    x = 203.13

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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.