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Finding the Fourth Proportional to 278.09, 417.10 and 141.06

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Solution

The fourth proportional to 278.09, 417.10 and 141.06 is: 211.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.09 : 417.10 = 141.06 : x
  2. Step 2: Convert to fraction form
    278.09/417.10 = 141.06/x
  3. Step 3: Cross multiply
    278.09x = 417.10 × 141.06
  4. Step 4: Simplify right side
    278.09x = 58,836.13
  5. Step 5: Solve for x
    x = 58,836.13/278.09
  6. Step 6: Final answer
    x = 211.57

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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.