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Finding the Fourth Proportional to 266.18, 367.26 and 155.70

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Solution

The fourth proportional to 266.18, 367.26 and 155.70 is: 214.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.18 : 367.26 = 155.70 : x
  2. Step 2: Convert to fraction form
    266.18/367.26 = 155.70/x
  3. Step 3: Cross multiply
    266.18x = 367.26 × 155.70
  4. Step 4: Simplify right side
    266.18x = 57,182.38
  5. Step 5: Solve for x
    x = 57,182.38/266.18
  6. Step 6: Final answer
    x = 214.83

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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.