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Finding the Fourth Proportional to 196.83, 295.29 and 87.14

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Solution

The fourth proportional to 196.83, 295.29 and 87.14 is: 130.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.83 : 295.29 = 87.14 : x
  2. Step 2: Convert to fraction form
    196.83/295.29 = 87.14/x
  3. Step 3: Cross multiply
    196.83x = 295.29 × 87.14
  4. Step 4: Simplify right side
    196.83x = 25,730.09
  5. Step 5: Solve for x
    x = 25,730.09/196.83
  6. Step 6: Final answer
    x = 130.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.