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Finding the Fourth Proportional to 191.04, 284.71 and 171.96

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Solution

The fourth proportional to 191.04, 284.71 and 171.96 is: 256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.04 : 284.71 = 171.96 : x
  2. Step 2: Convert to fraction form
    191.04/284.71 = 171.96/x
  3. Step 3: Cross multiply
    191.04x = 284.71 × 171.96
  4. Step 4: Simplify right side
    191.04x = 48,958.73
  5. Step 5: Solve for x
    x = 48,958.73/191.04
  6. Step 6: Final answer
    x = 256.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.