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Finding the Fourth Proportional to 266.49, 368.10 and 205.08

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Solution

The fourth proportional to 266.49, 368.10 and 205.08 is: 283.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.49 : 368.10 = 205.08 : x
  2. Step 2: Convert to fraction form
    266.49/368.10 = 205.08/x
  3. Step 3: Cross multiply
    266.49x = 368.10 × 205.08
  4. Step 4: Simplify right side
    266.49x = 75,489.95
  5. Step 5: Solve for x
    x = 75,489.95/266.49
  6. Step 6: Final answer
    x = 283.27

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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.