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Finding the Fourth Proportional to 294.18, 406.08 and 177.78

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Solution

The fourth proportional to 294.18, 406.08 and 177.78 is: 245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.18 : 406.08 = 177.78 : x
  2. Step 2: Convert to fraction form
    294.18/406.08 = 177.78/x
  3. Step 3: Cross multiply
    294.18x = 406.08 × 177.78
  4. Step 4: Simplify right side
    294.18x = 72,192.90
  5. Step 5: Solve for x
    x = 72,192.90/294.18
  6. Step 6: Final answer
    x = 245.40

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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.