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Finding the Fourth Proportional to 278.05, 416.94 and 148.12

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Solution

The fourth proportional to 278.05, 416.94 and 148.12 is: 222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.05 : 416.94 = 148.12 : x
  2. Step 2: Convert to fraction form
    278.05/416.94 = 148.12/x
  3. Step 3: Cross multiply
    278.05x = 416.94 × 148.12
  4. Step 4: Simplify right side
    278.05x = 61,755.70
  5. Step 5: Solve for x
    x = 61,755.70/278.05
  6. Step 6: Final answer
    x = 222.10

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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.