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Finding the Fourth Proportional to 278.04, 384.08 and 216.04

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Solution

The fourth proportional to 278.04, 384.08 and 216.04 is: 298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.04 : 384.08 = 216.04 : x
  2. Step 2: Convert to fraction form
    278.04/384.08 = 216.04/x
  3. Step 3: Cross multiply
    278.04x = 384.08 × 216.04
  4. Step 4: Simplify right side
    278.04x = 82,976.64
  5. Step 5: Solve for x
    x = 82,976.64/278.04
  6. Step 6: Final answer
    x = 298.43

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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.