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Finding the Fourth Proportional to 196.28, 295.88 and 183.06

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Solution

The fourth proportional to 196.28, 295.88 and 183.06 is: 275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.28 : 295.88 = 183.06 : x
  2. Step 2: Convert to fraction form
    196.28/295.88 = 183.06/x
  3. Step 3: Cross multiply
    196.28x = 295.88 × 183.06
  4. Step 4: Simplify right side
    196.28x = 54,164.25
  5. Step 5: Solve for x
    x = 54,164.25/196.28
  6. Step 6: Final answer
    x = 275.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.