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Finding the Fourth Proportional to 283.16, 424.46 and 191.87

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Solution

The fourth proportional to 283.16, 424.46 and 191.87 is: 287.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.16 : 424.46 = 191.87 : x
  2. Step 2: Convert to fraction form
    283.16/424.46 = 191.87/x
  3. Step 3: Cross multiply
    283.16x = 424.46 × 191.87
  4. Step 4: Simplify right side
    283.16x = 81,441.14
  5. Step 5: Solve for x
    x = 81,441.14/283.16
  6. Step 6: Final answer
    x = 287.62

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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.