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Finding the Fourth Proportional to 205.04, 283.14 and 139.52

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Solution

The fourth proportional to 205.04, 283.14 and 139.52 is: 192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.04 : 283.14 = 139.52 : x
  2. Step 2: Convert to fraction form
    205.04/283.14 = 139.52/x
  3. Step 3: Cross multiply
    205.04x = 283.14 × 139.52
  4. Step 4: Simplify right side
    205.04x = 39,503.69
  5. Step 5: Solve for x
    x = 39,503.69/205.04
  6. Step 6: Final answer
    x = 192.66

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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.