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Finding the Fourth Proportional to 193.85, 292.13 and 174.61

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Solution

The fourth proportional to 193.85, 292.13 and 174.61 is: 263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.85 : 292.13 = 174.61 : x
  2. Step 2: Convert to fraction form
    193.85/292.13 = 174.61/x
  3. Step 3: Cross multiply
    193.85x = 292.13 × 174.61
  4. Step 4: Simplify right side
    193.85x = 51,008.82
  5. Step 5: Solve for x
    x = 51,008.82/193.85
  6. Step 6: Final answer
    x = 263.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.