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Finding the Fourth Proportional to 283.42, 390.99 and 190.14

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Solution

The fourth proportional to 283.42, 390.99 and 190.14 is: 262.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.42 : 390.99 = 190.14 : x
  2. Step 2: Convert to fraction form
    283.42/390.99 = 190.14/x
  3. Step 3: Cross multiply
    283.42x = 390.99 × 190.14
  4. Step 4: Simplify right side
    283.42x = 74,342.84
  5. Step 5: Solve for x
    x = 74,342.84/283.42
  6. Step 6: Final answer
    x = 262.31

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