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Finding the Fourth Proportional to 278.88, 384.85 and 162.46

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Solution

The fourth proportional to 278.88, 384.85 and 162.46 is: 224.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.88 : 384.85 = 162.46 : x
  2. Step 2: Convert to fraction form
    278.88/384.85 = 162.46/x
  3. Step 3: Cross multiply
    278.88x = 384.85 × 162.46
  4. Step 4: Simplify right side
    278.88x = 62,522.73
  5. Step 5: Solve for x
    x = 62,522.73/278.88
  6. Step 6: Final answer
    x = 224.19

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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.