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Finding the Fourth Proportional to 205.76, 306.40 and 196.32

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Solution

The fourth proportional to 205.76, 306.40 and 196.32 is: 292.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.76 : 306.40 = 196.32 : x
  2. Step 2: Convert to fraction form
    205.76/306.40 = 196.32/x
  3. Step 3: Cross multiply
    205.76x = 306.40 × 196.32
  4. Step 4: Simplify right side
    205.76x = 60,152.45
  5. Step 5: Solve for x
    x = 60,152.45/205.76
  6. Step 6: Final answer
    x = 292.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.