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Finding the Fourth Proportional to 206.23, 284.59 and 112.98

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Solution

The fourth proportional to 206.23, 284.59 and 112.98 is: 155.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.23 : 284.59 = 112.98 : x
  2. Step 2: Convert to fraction form
    206.23/284.59 = 112.98/x
  3. Step 3: Cross multiply
    206.23x = 284.59 × 112.98
  4. Step 4: Simplify right side
    206.23x = 32,150.99
  5. Step 5: Solve for x
    x = 32,150.99/206.23
  6. Step 6: Final answer
    x = 155.90

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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.