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Finding the Fourth Proportional to 206.14, 307.74 and 178.80

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Solution

The fourth proportional to 206.14, 307.74 and 178.80 is: 266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.14 : 307.74 = 178.80 : x
  2. Step 2: Convert to fraction form
    206.14/307.74 = 178.80/x
  3. Step 3: Cross multiply
    206.14x = 307.74 × 178.80
  4. Step 4: Simplify right side
    206.14x = 55,023.02
  5. Step 5: Solve for x
    x = 55,023.02/206.14
  6. Step 6: Final answer
    x = 266.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.