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Finding the Fourth Proportional to 193.04, 291.62 and 191.24

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Solution

The fourth proportional to 193.04, 291.62 and 191.24 is: 288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.04 : 291.62 = 191.24 : x
  2. Step 2: Convert to fraction form
    193.04/291.62 = 191.24/x
  3. Step 3: Cross multiply
    193.04x = 291.62 × 191.24
  4. Step 4: Simplify right side
    193.04x = 55,769.41
  5. Step 5: Solve for x
    x = 55,769.41/193.04
  6. Step 6: Final answer
    x = 288.90

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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.