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Finding the Fourth Proportional to 193.66, 291.81 and 160.17

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Solution

The fourth proportional to 193.66, 291.81 and 160.17 is: 241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.66 : 291.81 = 160.17 : x
  2. Step 2: Convert to fraction form
    193.66/291.81 = 160.17/x
  3. Step 3: Cross multiply
    193.66x = 291.81 × 160.17
  4. Step 4: Simplify right side
    193.66x = 46,739.61
  5. Step 5: Solve for x
    x = 46,739.61/193.66
  6. Step 6: Final answer
    x = 241.36

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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.