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Finding the Fourth Proportional to 278.60, 384.10 and 229.46

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Solution

The fourth proportional to 278.60, 384.10 and 229.46 is: 316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.60 : 384.10 = 229.46 : x
  2. Step 2: Convert to fraction form
    278.60/384.10 = 229.46/x
  3. Step 3: Cross multiply
    278.60x = 384.10 × 229.46
  4. Step 4: Simplify right side
    278.60x = 88,133.09
  5. Step 5: Solve for x
    x = 88,133.09/278.60
  6. Step 6: Final answer
    x = 316.35

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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.