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Finding the Fourth Proportional to 190, 284.76 and 81.76

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Solution

The fourth proportional to 190, 284.76 and 81.76 is: 122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190 : 284.76 = 81.76 : x
  2. Step 2: Convert to fraction form
    190/284.76 = 81.76/x
  3. Step 3: Cross multiply
    190x = 284.76 × 81.76
  4. Step 4: Simplify right side
    190x = 23,281.98
  5. Step 5: Solve for x
    x = 23,281.98/190
  6. Step 6: Final answer
    x = 122.54

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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.