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Finding the Fourth Proportional to 191.97, 287.78 and 70.16

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Solution

The fourth proportional to 191.97, 287.78 and 70.16 is: 105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.97 : 287.78 = 70.16 : x
  2. Step 2: Convert to fraction form
    191.97/287.78 = 70.16/x
  3. Step 3: Cross multiply
    191.97x = 287.78 × 70.16
  4. Step 4: Simplify right side
    191.97x = 20,188.86
  5. Step 5: Solve for x
    x = 20,188.86/191.97
  6. Step 6: Final answer
    x = 105.17

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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.