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Finding the Fourth Proportional to 196.21, 293.84 and 115.08

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Solution

The fourth proportional to 196.21, 293.84 and 115.08 is: 172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.21 : 293.84 = 115.08 : x
  2. Step 2: Convert to fraction form
    196.21/293.84 = 115.08/x
  3. Step 3: Cross multiply
    196.21x = 293.84 × 115.08
  4. Step 4: Simplify right side
    196.21x = 33,815.11
  5. Step 5: Solve for x
    x = 33,815.11/196.21
  6. Step 6: Final answer
    x = 172.34

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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.