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Finding the Fourth Proportional to 191.16, 285.66 and 180.90

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Solution

The fourth proportional to 191.16, 285.66 and 180.90 is: 270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.16 : 285.66 = 180.90 : x
  2. Step 2: Convert to fraction form
    191.16/285.66 = 180.90/x
  3. Step 3: Cross multiply
    191.16x = 285.66 × 180.90
  4. Step 4: Simplify right side
    191.16x = 51,675.89
  5. Step 5: Solve for x
    x = 51,675.89/191.16
  6. Step 6: Final answer
    x = 270.33

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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.