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Finding the Fourth Proportional to 278.23, 417.04 and 140.98

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Solution

The fourth proportional to 278.23, 417.04 and 140.98 is: 211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.23 : 417.04 = 140.98 : x
  2. Step 2: Convert to fraction form
    278.23/417.04 = 140.98/x
  3. Step 3: Cross multiply
    278.23x = 417.04 × 140.98
  4. Step 4: Simplify right side
    278.23x = 58,795.65
  5. Step 5: Solve for x
    x = 58,795.65/278.23
  6. Step 6: Final answer
    x = 211.32

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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.