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Finding the Fourth Proportional to 190.71, 262.98 and 153.72

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Solution

The fourth proportional to 190.71, 262.98 and 153.72 is: 211.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.71 : 262.98 = 153.72 : x
  2. Step 2: Convert to fraction form
    190.71/262.98 = 153.72/x
  3. Step 3: Cross multiply
    190.71x = 262.98 × 153.72
  4. Step 4: Simplify right side
    190.71x = 40,425.29
  5. Step 5: Solve for x
    x = 40,425.29/190.71
  6. Step 6: Final answer
    x = 211.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.