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Finding the Fourth Proportional to 278.84, 418.28 and 142.16

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Solution

The fourth proportional to 278.84, 418.28 and 142.16 is: 213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.84 : 418.28 = 142.16 : x
  2. Step 2: Convert to fraction form
    278.84/418.28 = 142.16/x
  3. Step 3: Cross multiply
    278.84x = 418.28 × 142.16
  4. Step 4: Simplify right side
    278.84x = 59,462.68
  5. Step 5: Solve for x
    x = 59,462.68/278.84
  6. Step 6: Final answer
    x = 213.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.