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Finding the Fourth Proportional to 190.54, 285.82 and 74.98

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Solution

The fourth proportional to 190.54, 285.82 and 74.98 is: 112.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.54 : 285.82 = 74.98 : x
  2. Step 2: Convert to fraction form
    190.54/285.82 = 74.98/x
  3. Step 3: Cross multiply
    190.54x = 285.82 × 74.98
  4. Step 4: Simplify right side
    190.54x = 21,430.78
  5. Step 5: Solve for x
    x = 21,430.78/190.54
  6. Step 6: Final answer
    x = 112.47

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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.