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Finding the Fourth Proportional to 294.57, 406.59 and 178.14

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Solution

The fourth proportional to 294.57, 406.59 and 178.14 is: 245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.57 : 406.59 = 178.14 : x
  2. Step 2: Convert to fraction form
    294.57/406.59 = 178.14/x
  3. Step 3: Cross multiply
    294.57x = 406.59 × 178.14
  4. Step 4: Simplify right side
    294.57x = 72,429.94
  5. Step 5: Solve for x
    x = 72,429.94/294.57
  6. Step 6: Final answer
    x = 245.88

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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.