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Finding the Fourth Proportional to 266.85, 368.15 and 178.29

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Solution

The fourth proportional to 266.85, 368.15 and 178.29 is: 245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.85 : 368.15 = 178.29 : x
  2. Step 2: Convert to fraction form
    266.85/368.15 = 178.29/x
  3. Step 3: Cross multiply
    266.85x = 368.15 × 178.29
  4. Step 4: Simplify right side
    266.85x = 65,636.57
  5. Step 5: Solve for x
    x = 65,636.57/266.85
  6. Step 6: Final answer
    x = 245.97

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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.