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Finding the Fourth Proportional to 190.72, 262.76 and 153.84

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Solution

The fourth proportional to 190.72, 262.76 and 153.84 is: 211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.72 : 262.76 = 153.84 : x
  2. Step 2: Convert to fraction form
    190.72/262.76 = 153.84/x
  3. Step 3: Cross multiply
    190.72x = 262.76 × 153.84
  4. Step 4: Simplify right side
    190.72x = 40,423.00
  5. Step 5: Solve for x
    x = 40,423.00/190.72
  6. Step 6: Final answer
    x = 211.95

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Why These Related Problems?

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