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Finding the Fourth Proportional to 283.04, 390.50 and 195.56

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Solution

The fourth proportional to 283.04, 390.50 and 195.56 is: 269.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.04 : 390.50 = 195.56 : x
  2. Step 2: Convert to fraction form
    283.04/390.50 = 195.56/x
  3. Step 3: Cross multiply
    283.04x = 390.50 × 195.56
  4. Step 4: Simplify right side
    283.04x = 76,366.18
  5. Step 5: Solve for x
    x = 76,366.18/283.04
  6. Step 6: Final answer
    x = 269.81

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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.