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Finding the Fourth Proportional to 191.70, 287.43 and 76.08

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Solution

The fourth proportional to 191.70, 287.43 and 76.08 is: 114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.70 : 287.43 = 76.08 : x
  2. Step 2: Convert to fraction form
    191.70/287.43 = 76.08/x
  3. Step 3: Cross multiply
    191.70x = 287.43 × 76.08
  4. Step 4: Simplify right side
    191.70x = 21,867.67
  5. Step 5: Solve for x
    x = 21,867.67/191.70
  6. Step 6: Final answer
    x = 114.07

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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.