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Finding the Fourth Proportional to 278.05, 416.82 and 95.40

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Solution

The fourth proportional to 278.05, 416.82 and 95.40 is: 143.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.05 : 416.82 = 95.40 : x
  2. Step 2: Convert to fraction form
    278.05/416.82 = 95.40/x
  3. Step 3: Cross multiply
    278.05x = 416.82 × 95.40
  4. Step 4: Simplify right side
    278.05x = 39,764.63
  5. Step 5: Solve for x
    x = 39,764.63/278.05
  6. Step 6: Final answer
    x = 143.01

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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.