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Finding the Fourth Proportional to 196.23, 292.65 and 187.12

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Solution

The fourth proportional to 196.23, 292.65 and 187.12 is: 279.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.23 : 292.65 = 187.12 : x
  2. Step 2: Convert to fraction form
    196.23/292.65 = 187.12/x
  3. Step 3: Cross multiply
    196.23x = 292.65 × 187.12
  4. Step 4: Simplify right side
    196.23x = 54,760.67
  5. Step 5: Solve for x
    x = 54,760.67/196.23
  6. Step 6: Final answer
    x = 279.06

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