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Finding the Fourth Proportional to 278.58, 384.18 and 185.34

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Solution

The fourth proportional to 278.58, 384.18 and 185.34 is: 255.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.58 : 384.18 = 185.34 : x
  2. Step 2: Convert to fraction form
    278.58/384.18 = 185.34/x
  3. Step 3: Cross multiply
    278.58x = 384.18 × 185.34
  4. Step 4: Simplify right side
    278.58x = 71,203.92
  5. Step 5: Solve for x
    x = 71,203.92/278.58
  6. Step 6: Final answer
    x = 255.60

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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.