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Finding the Fourth Proportional to 235.32, 354.35 and 205.23

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Solution

The fourth proportional to 235.32, 354.35 and 205.23 is: 309.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.32 : 354.35 = 205.23 : x
  2. Step 2: Convert to fraction form
    235.32/354.35 = 205.23/x
  3. Step 3: Cross multiply
    235.32x = 354.35 × 205.23
  4. Step 4: Simplify right side
    235.32x = 72,723.25
  5. Step 5: Solve for x
    x = 72,723.25/235.32
  6. Step 6: Final answer
    x = 309.04

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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.