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Finding the Fourth Proportional to 266.57, 367.50 and 178.05

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Solution

The fourth proportional to 266.57, 367.50 and 178.05 is: 245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.57 : 367.50 = 178.05 : x
  2. Step 2: Convert to fraction form
    266.57/367.50 = 178.05/x
  3. Step 3: Cross multiply
    266.57x = 367.50 × 178.05
  4. Step 4: Simplify right side
    266.57x = 65,432.48
  5. Step 5: Solve for x
    x = 65,432.48/266.57
  6. Step 6: Final answer
    x = 245.47

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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.