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Finding the Fourth Proportional to 205.22, 305.85 and 203.52

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Solution

The fourth proportional to 205.22, 305.85 and 203.52 is: 303.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.22 : 305.85 = 203.52 : x
  2. Step 2: Convert to fraction form
    205.22/305.85 = 203.52/x
  3. Step 3: Cross multiply
    205.22x = 305.85 × 203.52
  4. Step 4: Simplify right side
    205.22x = 62,246.59
  5. Step 5: Solve for x
    x = 62,246.59/205.22
  6. Step 6: Final answer
    x = 303.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.