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Finding the Fourth Proportional to 278.26, 383.95 and 167.71

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Solution

The fourth proportional to 278.26, 383.95 and 167.71 is: 231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.26 : 383.95 = 167.71 : x
  2. Step 2: Convert to fraction form
    278.26/383.95 = 167.71/x
  3. Step 3: Cross multiply
    278.26x = 383.95 × 167.71
  4. Step 4: Simplify right side
    278.26x = 64,392.25
  5. Step 5: Solve for x
    x = 64,392.25/278.26
  6. Step 6: Final answer
    x = 231.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.