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Finding the Fourth Proportional to 191.80, 286.98 and 189.64

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Solution

The fourth proportional to 191.80, 286.98 and 189.64 is: 283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.80 : 286.98 = 189.64 : x
  2. Step 2: Convert to fraction form
    191.80/286.98 = 189.64/x
  3. Step 3: Cross multiply
    191.80x = 286.98 × 189.64
  4. Step 4: Simplify right side
    191.80x = 54,422.89
  5. Step 5: Solve for x
    x = 54,422.89/191.80
  6. Step 6: Final answer
    x = 283.75

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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.