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Finding the Fourth Proportional to 193.84, 291.93 and 171.24

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Solution

The fourth proportional to 193.84, 291.93 and 171.24 is: 257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.84 : 291.93 = 171.24 : x
  2. Step 2: Convert to fraction form
    193.84/291.93 = 171.24/x
  3. Step 3: Cross multiply
    193.84x = 291.93 × 171.24
  4. Step 4: Simplify right side
    193.84x = 49,990.09
  5. Step 5: Solve for x
    x = 49,990.09/193.84
  6. Step 6: Final answer
    x = 257.89

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