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Finding the Fourth Proportional to 266.56, 367.10 and 215.08

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Solution

The fourth proportional to 266.56, 367.10 and 215.08 is: 296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.56 : 367.10 = 215.08 : x
  2. Step 2: Convert to fraction form
    266.56/367.10 = 215.08/x
  3. Step 3: Cross multiply
    266.56x = 367.10 × 215.08
  4. Step 4: Simplify right side
    266.56x = 78,955.87
  5. Step 5: Solve for x
    x = 78,955.87/266.56
  6. Step 6: Final answer
    x = 296.20

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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.