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Finding the Fourth Proportional to 205.92, 310.52 and 203.18

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Solution

The fourth proportional to 205.92, 310.52 and 203.18 is: 306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.92 : 310.52 = 203.18 : x
  2. Step 2: Convert to fraction form
    205.92/310.52 = 203.18/x
  3. Step 3: Cross multiply
    205.92x = 310.52 × 203.18
  4. Step 4: Simplify right side
    205.92x = 63,088.89
  5. Step 5: Solve for x
    x = 63,088.89/205.92
  6. Step 6: Final answer
    x = 306.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.