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Finding the Fourth Proportional to 266.17, 367.23 and 155.67

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Solution

The fourth proportional to 266.17, 367.23 and 155.67 is: 214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.17 : 367.23 = 155.67 : x
  2. Step 2: Convert to fraction form
    266.17/367.23 = 155.67/x
  3. Step 3: Cross multiply
    266.17x = 367.23 × 155.67
  4. Step 4: Simplify right side
    266.17x = 57,164.86
  5. Step 5: Solve for x
    x = 57,164.86/266.17
  6. Step 6: Final answer
    x = 214.77

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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.