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Finding the Fourth Proportional to 191.46, 287.64 and 180.54

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Solution

The fourth proportional to 191.46, 287.64 and 180.54 is: 271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.46 : 287.64 = 180.54 : x
  2. Step 2: Convert to fraction form
    191.46/287.64 = 180.54/x
  3. Step 3: Cross multiply
    191.46x = 287.64 × 180.54
  4. Step 4: Simplify right side
    191.46x = 51,930.53
  5. Step 5: Solve for x
    x = 51,930.53/191.46
  6. Step 6: Final answer
    x = 271.23

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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.