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Finding the Fourth Proportional to 294.21, 406.13 and 177.75

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Solution

The fourth proportional to 294.21, 406.13 and 177.75 is: 245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.21 : 406.13 = 177.75 : x
  2. Step 2: Convert to fraction form
    294.21/406.13 = 177.75/x
  3. Step 3: Cross multiply
    294.21x = 406.13 × 177.75
  4. Step 4: Simplify right side
    294.21x = 72,188.72
  5. Step 5: Solve for x
    x = 72,188.72/294.21
  6. Step 6: Final answer
    x = 245.36

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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.