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Finding the Fourth Proportional to 266.80, 368.10 and 204.52

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Solution

The fourth proportional to 266.80, 368.10 and 204.52 is: 282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.80 : 368.10 = 204.52 : x
  2. Step 2: Convert to fraction form
    266.80/368.10 = 204.52/x
  3. Step 3: Cross multiply
    266.80x = 368.10 × 204.52
  4. Step 4: Simplify right side
    266.80x = 75,283.81
  5. Step 5: Solve for x
    x = 75,283.81/266.80
  6. Step 6: Final answer
    x = 282.17

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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.