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Finding the Fourth Proportional to 205.57, 307.80 and 162.32

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Solution

The fourth proportional to 205.57, 307.80 and 162.32 is: 243.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.57 : 307.80 = 162.32 : x
  2. Step 2: Convert to fraction form
    205.57/307.80 = 162.32/x
  3. Step 3: Cross multiply
    205.57x = 307.80 × 162.32
  4. Step 4: Simplify right side
    205.57x = 49,960.56
  5. Step 5: Solve for x
    x = 49,960.56/205.57
  6. Step 6: Final answer
    x = 243.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.