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Finding the Fourth Proportional to 292.74, 404.01 and 193.11

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Solution

The fourth proportional to 292.74, 404.01 and 193.11 is: 266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.74 : 404.01 = 193.11 : x
  2. Step 2: Convert to fraction form
    292.74/404.01 = 193.11/x
  3. Step 3: Cross multiply
    292.74x = 404.01 × 193.11
  4. Step 4: Simplify right side
    292.74x = 78,018.37
  5. Step 5: Solve for x
    x = 78,018.37/292.74
  6. Step 6: Final answer
    x = 266.51

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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.