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Finding the Fourth Proportional to 294.50, 406.42 and 178.07

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Solution

The fourth proportional to 294.50, 406.42 and 178.07 is: 245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.50 : 406.42 = 178.07 : x
  2. Step 2: Convert to fraction form
    294.50/406.42 = 178.07/x
  3. Step 3: Cross multiply
    294.50x = 406.42 × 178.07
  4. Step 4: Simplify right side
    294.50x = 72,368.73
  5. Step 5: Solve for x
    x = 72,368.73/294.50
  6. Step 6: Final answer
    x = 245.73

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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.