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Finding the Fourth Proportional to 283.27, 390.51 and 200.13

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Solution

The fourth proportional to 283.27, 390.51 and 200.13 is: 275.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.27 : 390.51 = 200.13 : x
  2. Step 2: Convert to fraction form
    283.27/390.51 = 200.13/x
  3. Step 3: Cross multiply
    283.27x = 390.51 × 200.13
  4. Step 4: Simplify right side
    283.27x = 78,152.77
  5. Step 5: Solve for x
    x = 78,152.77/283.27
  6. Step 6: Final answer
    x = 275.89

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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.