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Finding the Fourth Proportional to 266.08, 367.17 and 210.96

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Solution

The fourth proportional to 266.08, 367.17 and 210.96 is: 291.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.08 : 367.17 = 210.96 : x
  2. Step 2: Convert to fraction form
    266.08/367.17 = 210.96/x
  3. Step 3: Cross multiply
    266.08x = 367.17 × 210.96
  4. Step 4: Simplify right side
    266.08x = 77,458.18
  5. Step 5: Solve for x
    x = 77,458.18/266.08
  6. Step 6: Final answer
    x = 291.11

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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.