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Finding the Fourth Proportional to 191.84, 286.18 and 180.80

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Solution

The fourth proportional to 191.84, 286.18 and 180.80 is: 269.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.84 : 286.18 = 180.80 : x
  2. Step 2: Convert to fraction form
    191.84/286.18 = 180.80/x
  3. Step 3: Cross multiply
    191.84x = 286.18 × 180.80
  4. Step 4: Simplify right side
    191.84x = 51,741.34
  5. Step 5: Solve for x
    x = 51,741.34/191.84
  6. Step 6: Final answer
    x = 269.71

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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.