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Finding the Fourth Proportional to 205.93, 284.17 and 112.67

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Solution

The fourth proportional to 205.93, 284.17 and 112.67 is: 155.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.93 : 284.17 = 112.67 : x
  2. Step 2: Convert to fraction form
    205.93/284.17 = 112.67/x
  3. Step 3: Cross multiply
    205.93x = 284.17 × 112.67
  4. Step 4: Simplify right side
    205.93x = 32,017.43
  5. Step 5: Solve for x
    x = 32,017.43/205.93
  6. Step 6: Final answer
    x = 155.48

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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.