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Finding the Fourth Proportional to 196.19, 270.76 and 146.98

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Solution

The fourth proportional to 196.19, 270.76 and 146.98 is: 202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.19 : 270.76 = 146.98 : x
  2. Step 2: Convert to fraction form
    196.19/270.76 = 146.98/x
  3. Step 3: Cross multiply
    196.19x = 270.76 × 146.98
  4. Step 4: Simplify right side
    196.19x = 39,796.55
  5. Step 5: Solve for x
    x = 39,796.55/196.19
  6. Step 6: Final answer
    x = 202.85

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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.