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Finding the Fourth Proportional to 278.40, 417.70 and 105.16

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Solution

The fourth proportional to 278.40, 417.70 and 105.16 is: 157.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.40 : 417.70 = 105.16 : x
  2. Step 2: Convert to fraction form
    278.40/417.70 = 105.16/x
  3. Step 3: Cross multiply
    278.40x = 417.70 × 105.16
  4. Step 4: Simplify right side
    278.40x = 43,925.33
  5. Step 5: Solve for x
    x = 43,925.33/278.40
  6. Step 6: Final answer
    x = 157.78

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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.