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Finding the Fourth Proportional to 191.88, 287.76 and 109.74

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Solution

The fourth proportional to 191.88, 287.76 and 109.74 is: 164.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.88 : 287.76 = 109.74 : x
  2. Step 2: Convert to fraction form
    191.88/287.76 = 109.74/x
  3. Step 3: Cross multiply
    191.88x = 287.76 × 109.74
  4. Step 4: Simplify right side
    191.88x = 31,578.78
  5. Step 5: Solve for x
    x = 31,578.78/191.88
  6. Step 6: Final answer
    x = 164.58

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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.