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Finding the Fourth Proportional to 294.89, 407.00 and 168.85

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Solution

The fourth proportional to 294.89, 407.00 and 168.85 is: 233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.89 : 407.00 = 168.85 : x
  2. Step 2: Convert to fraction form
    294.89/407.00 = 168.85/x
  3. Step 3: Cross multiply
    294.89x = 407.00 × 168.85
  4. Step 4: Simplify right side
    294.89x = 68,723.39
  5. Step 5: Solve for x
    x = 68,723.39/294.89
  6. Step 6: Final answer
    x = 233.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.