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Finding the Fourth Proportional to 196.72, 293.42 and 175.12

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Solution

The fourth proportional to 196.72, 293.42 and 175.12 is: 261.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.72 : 293.42 = 175.12 : x
  2. Step 2: Convert to fraction form
    196.72/293.42 = 175.12/x
  3. Step 3: Cross multiply
    196.72x = 293.42 × 175.12
  4. Step 4: Simplify right side
    196.72x = 51,383.71
  5. Step 5: Solve for x
    x = 51,383.71/196.72
  6. Step 6: Final answer
    x = 261.20

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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.