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Finding the Fourth Proportional to 190.53, 262.80 and 153.72

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Solution

The fourth proportional to 190.53, 262.80 and 153.72 is: 212.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.53 : 262.80 = 153.72 : x
  2. Step 2: Convert to fraction form
    190.53/262.80 = 153.72/x
  3. Step 3: Cross multiply
    190.53x = 262.80 × 153.72
  4. Step 4: Simplify right side
    190.53x = 40,397.62
  5. Step 5: Solve for x
    x = 40,397.62/190.53
  6. Step 6: Final answer
    x = 212.03

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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.