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Finding the Fourth Proportional to 191.67, 287.35 and 164.15

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Solution

The fourth proportional to 191.67, 287.35 and 164.15 is: 246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.67 : 287.35 = 164.15 : x
  2. Step 2: Convert to fraction form
    191.67/287.35 = 164.15/x
  3. Step 3: Cross multiply
    191.67x = 287.35 × 164.15
  4. Step 4: Simplify right side
    191.67x = 47,167.62
  5. Step 5: Solve for x
    x = 47,167.62/191.67
  6. Step 6: Final answer
    x = 246.08

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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.