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Finding the Fourth Proportional to 294.13, 440.32 and 178.22

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Solution

The fourth proportional to 294.13, 440.32 and 178.22 is: 266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.13 : 440.32 = 178.22 : x
  2. Step 2: Convert to fraction form
    294.13/440.32 = 178.22/x
  3. Step 3: Cross multiply
    294.13x = 440.32 × 178.22
  4. Step 4: Simplify right side
    294.13x = 78,472.94
  5. Step 5: Solve for x
    x = 78,472.94/294.13
  6. Step 6: Final answer
    x = 266.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.