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Finding the Fourth Proportional to 294.60, 406.53 and 176.66

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Solution

The fourth proportional to 294.60, 406.53 and 176.66 is: 243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.60 : 406.53 = 176.66 : x
  2. Step 2: Convert to fraction form
    294.60/406.53 = 176.66/x
  3. Step 3: Cross multiply
    294.60x = 406.53 × 176.66
  4. Step 4: Simplify right side
    294.60x = 71,817.08
  5. Step 5: Solve for x
    x = 71,817.08/294.60
  6. Step 6: Final answer
    x = 243.78

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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.