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Finding the Fourth Proportional to 196.26, 293.06 and 175.56

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Solution

The fourth proportional to 196.26, 293.06 and 175.56 is: 262.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.26 : 293.06 = 175.56 : x
  2. Step 2: Convert to fraction form
    196.26/293.06 = 175.56/x
  3. Step 3: Cross multiply
    196.26x = 293.06 × 175.56
  4. Step 4: Simplify right side
    196.26x = 51,448.74
  5. Step 5: Solve for x
    x = 51,448.74/196.26
  6. Step 6: Final answer
    x = 262.15

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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.