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Finding the Fourth Proportional to 266.48, 367.20 and 208.16

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Solution

The fourth proportional to 266.48, 367.20 and 208.16 is: 286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.48 : 367.20 = 208.16 : x
  2. Step 2: Convert to fraction form
    266.48/367.20 = 208.16/x
  3. Step 3: Cross multiply
    266.48x = 367.20 × 208.16
  4. Step 4: Simplify right side
    266.48x = 76,436.35
  5. Step 5: Solve for x
    x = 76,436.35/266.48
  6. Step 6: Final answer
    x = 286.84

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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.