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Finding the Fourth Proportional to 294.31, 441.56 and 177.31

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Solution

The fourth proportional to 294.31, 441.56 and 177.31 is: 266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.31 : 441.56 = 177.31 : x
  2. Step 2: Convert to fraction form
    294.31/441.56 = 177.31/x
  3. Step 3: Cross multiply
    294.31x = 441.56 × 177.31
  4. Step 4: Simplify right side
    294.31x = 78,294.37
  5. Step 5: Solve for x
    x = 78,294.37/294.31
  6. Step 6: Final answer
    x = 266.02

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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.