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Finding the Fourth Proportional to 191.65, 287.49 and 110.53

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Solution

The fourth proportional to 191.65, 287.49 and 110.53 is: 165.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.65 : 287.49 = 110.53 : x
  2. Step 2: Convert to fraction form
    191.65/287.49 = 110.53/x
  3. Step 3: Cross multiply
    191.65x = 287.49 × 110.53
  4. Step 4: Simplify right side
    191.65x = 31,776.27
  5. Step 5: Solve for x
    x = 31,776.27/191.65
  6. Step 6: Final answer
    x = 165.80

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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.