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Finding the Fourth Proportional to 294.02, 440.97 and 177.68

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Solution

The fourth proportional to 294.02, 440.97 and 177.68 is: 266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.02 : 440.97 = 177.68 : x
  2. Step 2: Convert to fraction form
    294.02/440.97 = 177.68/x
  3. Step 3: Cross multiply
    294.02x = 440.97 × 177.68
  4. Step 4: Simplify right side
    294.02x = 78,349.34
  5. Step 5: Solve for x
    x = 78,349.34/294.02
  6. Step 6: Final answer
    x = 266.48

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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.