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Finding the Fourth Proportional to 193.77, 288.53 and 190.85

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Solution

The fourth proportional to 193.77, 288.53 and 190.85 is: 284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.77 : 288.53 = 190.85 : x
  2. Step 2: Convert to fraction form
    193.77/288.53 = 190.85/x
  3. Step 3: Cross multiply
    193.77x = 288.53 × 190.85
  4. Step 4: Simplify right side
    193.77x = 55,063.55
  5. Step 5: Solve for x
    x = 55,063.55/193.77
  6. Step 6: Final answer
    x = 284.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.