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Finding the Fourth Proportional to 196.14, 292.10 and 191.88

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Solution

The fourth proportional to 196.14, 292.10 and 191.88 is: 285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.14 : 292.10 = 191.88 : x
  2. Step 2: Convert to fraction form
    196.14/292.10 = 191.88/x
  3. Step 3: Cross multiply
    196.14x = 292.10 × 191.88
  4. Step 4: Simplify right side
    196.14x = 56,047.19
  5. Step 5: Solve for x
    x = 56,047.19/196.14
  6. Step 6: Final answer
    x = 285.75

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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.