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Finding the Fourth Proportional to 315.08, 471.65 and 191.34

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Solution

The fourth proportional to 315.08, 471.65 and 191.34 is: 286.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.08 : 471.65 = 191.34 : x
  2. Step 2: Convert to fraction form
    315.08/471.65 = 191.34/x
  3. Step 3: Cross multiply
    315.08x = 471.65 × 191.34
  4. Step 4: Simplify right side
    315.08x = 90,244.55
  5. Step 5: Solve for x
    x = 90,244.55/315.08
  6. Step 6: Final answer
    x = 286.42

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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.