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Finding the Fourth Proportional to 190.21, 285.28 and 53.24

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Solution

The fourth proportional to 190.21, 285.28 and 53.24 is: 79.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.21 : 285.28 = 53.24 : x
  2. Step 2: Convert to fraction form
    190.21/285.28 = 53.24/x
  3. Step 3: Cross multiply
    190.21x = 285.28 × 53.24
  4. Step 4: Simplify right side
    190.21x = 15,188.31
  5. Step 5: Solve for x
    x = 15,188.31/190.21
  6. Step 6: Final answer
    x = 79.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.