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Finding the Fourth Proportional to 283.47, 390.96 and 190.19

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Solution

The fourth proportional to 283.47, 390.96 and 190.19 is: 262.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.47 : 390.96 = 190.19 : x
  2. Step 2: Convert to fraction form
    283.47/390.96 = 190.19/x
  3. Step 3: Cross multiply
    283.47x = 390.96 × 190.19
  4. Step 4: Simplify right side
    283.47x = 74,354.73
  5. Step 5: Solve for x
    x = 74,354.73/283.47
  6. Step 6: Final answer
    x = 262.30

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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.