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Finding the Fourth Proportional to 205.98, 284.01 and 128.34

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Solution

The fourth proportional to 205.98, 284.01 and 128.34 is: 176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.98 : 284.01 = 128.34 : x
  2. Step 2: Convert to fraction form
    205.98/284.01 = 128.34/x
  3. Step 3: Cross multiply
    205.98x = 284.01 × 128.34
  4. Step 4: Simplify right side
    205.98x = 36,449.84
  5. Step 5: Solve for x
    x = 36,449.84/205.98
  6. Step 6: Final answer
    x = 176.96

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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.