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Finding the Fourth Proportional to 278.82, 384.54 and 229.58

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Solution

The fourth proportional to 278.82, 384.54 and 229.58 is: 316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.82 : 384.54 = 229.58 : x
  2. Step 2: Convert to fraction form
    278.82/384.54 = 229.58/x
  3. Step 3: Cross multiply
    278.82x = 384.54 × 229.58
  4. Step 4: Simplify right side
    278.82x = 88,282.69
  5. Step 5: Solve for x
    x = 88,282.69/278.82
  6. Step 6: Final answer
    x = 316.63

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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.