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Finding the Fourth Proportional to 283.21, 424.59 and 190.76

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Solution

The fourth proportional to 283.21, 424.59 and 190.76 is: 285.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.21 : 424.59 = 190.76 : x
  2. Step 2: Convert to fraction form
    283.21/424.59 = 190.76/x
  3. Step 3: Cross multiply
    283.21x = 424.59 × 190.76
  4. Step 4: Simplify right side
    283.21x = 80,995.85
  5. Step 5: Solve for x
    x = 80,995.85/283.21
  6. Step 6: Final answer
    x = 285.99

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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.