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Finding the Fourth Proportional to 196.98, 293.52 and 175.44

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Solution

The fourth proportional to 196.98, 293.52 and 175.44 is: 261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.98 : 293.52 = 175.44 : x
  2. Step 2: Convert to fraction form
    196.98/293.52 = 175.44/x
  3. Step 3: Cross multiply
    196.98x = 293.52 × 175.44
  4. Step 4: Simplify right side
    196.98x = 51,495.15
  5. Step 5: Solve for x
    x = 51,495.15/196.98
  6. Step 6: Final answer
    x = 261.42

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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.