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Finding the Fourth Proportional to 205.34, 283.16 and 139.00

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Solution

The fourth proportional to 205.34, 283.16 and 139.00 is: 191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.34 : 283.16 = 139.00 : x
  2. Step 2: Convert to fraction form
    205.34/283.16 = 139.00/x
  3. Step 3: Cross multiply
    205.34x = 283.16 × 139.00
  4. Step 4: Simplify right side
    205.34x = 39,359.41
  5. Step 5: Solve for x
    x = 39,359.41/205.34
  6. Step 6: Final answer
    x = 191.68

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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.