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Finding the Fourth Proportional to 191.76, 287.64 and 76.24

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Solution

The fourth proportional to 191.76, 287.64 and 76.24 is: 114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.76 : 287.64 = 76.24 : x
  2. Step 2: Convert to fraction form
    191.76/287.64 = 76.24/x
  3. Step 3: Cross multiply
    191.76x = 287.64 × 76.24
  4. Step 4: Simplify right side
    191.76x = 21,929.67
  5. Step 5: Solve for x
    x = 21,929.67/191.76
  6. Step 6: Final answer
    x = 114.36

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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.