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Finding the Fourth Proportional to 278.29, 384.15 and 191.26

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Solution

The fourth proportional to 278.29, 384.15 and 191.26 is: 264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.29 : 384.15 = 191.26 : x
  2. Step 2: Convert to fraction form
    278.29/384.15 = 191.26/x
  3. Step 3: Cross multiply
    278.29x = 384.15 × 191.26
  4. Step 4: Simplify right side
    278.29x = 73,472.53
  5. Step 5: Solve for x
    x = 73,472.53/278.29
  6. Step 6: Final answer
    x = 264.01

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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.