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Finding the Fourth Proportional to 191.55, 287.16 and 180.81

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Solution

The fourth proportional to 191.55, 287.16 and 180.81 is: 271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.55 : 287.16 = 180.81 : x
  2. Step 2: Convert to fraction form
    191.55/287.16 = 180.81/x
  3. Step 3: Cross multiply
    191.55x = 287.16 × 180.81
  4. Step 4: Simplify right side
    191.55x = 51,921.40
  5. Step 5: Solve for x
    x = 51,921.40/191.55
  6. Step 6: Final answer
    x = 271.06

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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.