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Finding the Fourth Proportional to 291.34, 401.82 and 193

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Solution

The fourth proportional to 291.34, 401.82 and 193 is: 266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.34 : 401.82 = 193 : x
  2. Step 2: Convert to fraction form
    291.34/401.82 = 193/x
  3. Step 3: Cross multiply
    291.34x = 401.82 × 193
  4. Step 4: Simplify right side
    291.34x = 77,551.26
  5. Step 5: Solve for x
    x = 77,551.26/291.34
  6. Step 6: Final answer
    x = 266.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.