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Finding the Fourth Proportional to 206.34, 284.78 and 151.23

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Solution

The fourth proportional to 206.34, 284.78 and 151.23 is: 208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.34 : 284.78 = 151.23 : x
  2. Step 2: Convert to fraction form
    206.34/284.78 = 151.23/x
  3. Step 3: Cross multiply
    206.34x = 284.78 × 151.23
  4. Step 4: Simplify right side
    206.34x = 43,067.28
  5. Step 5: Solve for x
    x = 43,067.28/206.34
  6. Step 6: Final answer
    x = 208.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.