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Finding the Fourth Proportional to 294.34, 406.26 and 177.92

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Solution

The fourth proportional to 294.34, 406.26 and 177.92 is: 245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.34 : 406.26 = 177.92 : x
  2. Step 2: Convert to fraction form
    294.34/406.26 = 177.92/x
  3. Step 3: Cross multiply
    294.34x = 406.26 × 177.92
  4. Step 4: Simplify right side
    294.34x = 72,281.78
  5. Step 5: Solve for x
    x = 72,281.78/294.34
  6. Step 6: Final answer
    x = 245.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.