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Finding the Fourth Proportional to 205.30, 305.82 and 204.31

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Solution

The fourth proportional to 205.30, 305.82 and 204.31 is: 304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.30 : 305.82 = 204.31 : x
  2. Step 2: Convert to fraction form
    205.30/305.82 = 204.31/x
  3. Step 3: Cross multiply
    205.30x = 305.82 × 204.31
  4. Step 4: Simplify right side
    205.30x = 62,482.08
  5. Step 5: Solve for x
    x = 62,482.08/205.30
  6. Step 6: Final answer
    x = 304.35

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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.