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Finding the Fourth Proportional to 206.16, 283.95 and 185.37

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Solution

The fourth proportional to 206.16, 283.95 and 185.37 is: 255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.16 : 283.95 = 185.37 : x
  2. Step 2: Convert to fraction form
    206.16/283.95 = 185.37/x
  3. Step 3: Cross multiply
    206.16x = 283.95 × 185.37
  4. Step 4: Simplify right side
    206.16x = 52,635.81
  5. Step 5: Solve for x
    x = 52,635.81/206.16
  6. Step 6: Final answer
    x = 255.32

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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.