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Finding the Fourth Proportional to 294.42, 406.14 and 177.96

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Solution

The fourth proportional to 294.42, 406.14 and 177.96 is: 245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.42 : 406.14 = 177.96 : x
  2. Step 2: Convert to fraction form
    294.42/406.14 = 177.96/x
  3. Step 3: Cross multiply
    294.42x = 406.14 × 177.96
  4. Step 4: Simplify right side
    294.42x = 72,276.67
  5. Step 5: Solve for x
    x = 72,276.67/294.42
  6. Step 6: Final answer
    x = 245.49

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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.