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Finding the Fourth Proportional to 278.12, 417.23 and 95.51

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Solution

The fourth proportional to 278.12, 417.23 and 95.51 is: 143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.12 : 417.23 = 95.51 : x
  2. Step 2: Convert to fraction form
    278.12/417.23 = 95.51/x
  3. Step 3: Cross multiply
    278.12x = 417.23 × 95.51
  4. Step 4: Simplify right side
    278.12x = 39,850.56
  5. Step 5: Solve for x
    x = 39,850.56/278.12
  6. Step 6: Final answer
    x = 143.28

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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.