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Finding the Fourth Proportional to 266.24, 367.08 and 216.98

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Solution

The fourth proportional to 266.24, 367.08 and 216.98 is: 299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.24 : 367.08 = 216.98 : x
  2. Step 2: Convert to fraction form
    266.24/367.08 = 216.98/x
  3. Step 3: Cross multiply
    266.24x = 367.08 × 216.98
  4. Step 4: Simplify right side
    266.24x = 79,649.02
  5. Step 5: Solve for x
    x = 79,649.02/266.24
  6. Step 6: Final answer
    x = 299.16

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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.