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Finding the Fourth Proportional to 294.60, 406.49 and 178.16

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Solution

The fourth proportional to 294.60, 406.49 and 178.16 is: 245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.60 : 406.49 = 178.16 : x
  2. Step 2: Convert to fraction form
    294.60/406.49 = 178.16/x
  3. Step 3: Cross multiply
    294.60x = 406.49 × 178.16
  4. Step 4: Simplify right side
    294.60x = 72,420.26
  5. Step 5: Solve for x
    x = 72,420.26/294.60
  6. Step 6: Final answer
    x = 245.83

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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.