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Finding the Fourth Proportional to 191.44, 286.74 and 102.14

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Solution

The fourth proportional to 191.44, 286.74 and 102.14 is: 152.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.44 : 286.74 = 102.14 : x
  2. Step 2: Convert to fraction form
    191.44/286.74 = 102.14/x
  3. Step 3: Cross multiply
    191.44x = 286.74 × 102.14
  4. Step 4: Simplify right side
    191.44x = 29,286.46
  5. Step 5: Solve for x
    x = 29,286.46/191.44
  6. Step 6: Final answer
    x = 152.98

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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.