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Finding the Fourth Proportional to 206.50, 284.83 and 157.36

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Solution

The fourth proportional to 206.50, 284.83 and 157.36 is: 217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.50 : 284.83 = 157.36 : x
  2. Step 2: Convert to fraction form
    206.50/284.83 = 157.36/x
  3. Step 3: Cross multiply
    206.50x = 284.83 × 157.36
  4. Step 4: Simplify right side
    206.50x = 44,820.85
  5. Step 5: Solve for x
    x = 44,820.85/206.50
  6. Step 6: Final answer
    x = 217.05

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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.