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Finding the Fourth Proportional to 278.60, 418.28 and 157.08

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Solution

The fourth proportional to 278.60, 418.28 and 157.08 is: 235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.60 : 418.28 = 157.08 : x
  2. Step 2: Convert to fraction form
    278.60/418.28 = 157.08/x
  3. Step 3: Cross multiply
    278.60x = 418.28 × 157.08
  4. Step 4: Simplify right side
    278.60x = 65,703.42
  5. Step 5: Solve for x
    x = 65,703.42/278.60
  6. Step 6: Final answer
    x = 235.83

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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.