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Finding the Fourth Proportional to 266.80, 367.80 and 189.04

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Solution

The fourth proportional to 266.80, 367.80 and 189.04 is: 260.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.80 : 367.80 = 189.04 : x
  2. Step 2: Convert to fraction form
    266.80/367.80 = 189.04/x
  3. Step 3: Cross multiply
    266.80x = 367.80 × 189.04
  4. Step 4: Simplify right side
    266.80x = 69,528.91
  5. Step 5: Solve for x
    x = 69,528.91/266.80
  6. Step 6: Final answer
    x = 260.60

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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.