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Finding the Fourth Proportional to 190.31, 285.34 and 74.77

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Solution

The fourth proportional to 190.31, 285.34 and 74.77 is: 112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.31 : 285.34 = 74.77 : x
  2. Step 2: Convert to fraction form
    190.31/285.34 = 74.77/x
  3. Step 3: Cross multiply
    190.31x = 285.34 × 74.77
  4. Step 4: Simplify right side
    190.31x = 21,334.87
  5. Step 5: Solve for x
    x = 21,334.87/190.31
  6. Step 6: Final answer
    x = 112.11

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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.