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Finding the Fourth Proportional to 294.18, 440.73 and 165.66

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Solution

The fourth proportional to 294.18, 440.73 and 165.66 is: 248.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.18 : 440.73 = 165.66 : x
  2. Step 2: Convert to fraction form
    294.18/440.73 = 165.66/x
  3. Step 3: Cross multiply
    294.18x = 440.73 × 165.66
  4. Step 4: Simplify right side
    294.18x = 73,011.33
  5. Step 5: Solve for x
    x = 73,011.33/294.18
  6. Step 6: Final answer
    x = 248.19

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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.