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Finding the Fourth Proportional to 206.63, 284.85 and 157.42

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Solution

The fourth proportional to 206.63, 284.85 and 157.42 is: 217.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.63 : 284.85 = 157.42 : x
  2. Step 2: Convert to fraction form
    206.63/284.85 = 157.42/x
  3. Step 3: Cross multiply
    206.63x = 284.85 × 157.42
  4. Step 4: Simplify right side
    206.63x = 44,841.01
  5. Step 5: Solve for x
    x = 44,841.01/206.63
  6. Step 6: Final answer
    x = 217.01

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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.