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Finding the Fourth Proportional to 278.50, 417.70 and 105.14

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Solution

The fourth proportional to 278.50, 417.70 and 105.14 is: 157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.50 : 417.70 = 105.14 : x
  2. Step 2: Convert to fraction form
    278.50/417.70 = 105.14/x
  3. Step 3: Cross multiply
    278.50x = 417.70 × 105.14
  4. Step 4: Simplify right side
    278.50x = 43,916.98
  5. Step 5: Solve for x
    x = 43,916.98/278.50
  6. Step 6: Final answer
    x = 157.69

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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.