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Finding the Fourth Proportional to 190.61, 285.93 and 141.24

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Solution

The fourth proportional to 190.61, 285.93 and 141.24 is: 211.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.61 : 285.93 = 141.24 : x
  2. Step 2: Convert to fraction form
    190.61/285.93 = 141.24/x
  3. Step 3: Cross multiply
    190.61x = 285.93 × 141.24
  4. Step 4: Simplify right side
    190.61x = 40,384.75
  5. Step 5: Solve for x
    x = 40,384.75/190.61
  6. Step 6: Final answer
    x = 211.88

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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.