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Finding the Fourth Proportional to 283.19, 390.76 and 190.09

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Solution

The fourth proportional to 283.19, 390.76 and 190.09 is: 262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.19 : 390.76 = 190.09 : x
  2. Step 2: Convert to fraction form
    283.19/390.76 = 190.09/x
  3. Step 3: Cross multiply
    283.19x = 390.76 × 190.09
  4. Step 4: Simplify right side
    283.19x = 74,278.62
  5. Step 5: Solve for x
    x = 74,278.62/283.19
  6. Step 6: Final answer
    x = 262.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.