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Finding the Fourth Proportional to 205.23, 307.40 and 159.22

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Solution

The fourth proportional to 205.23, 307.40 and 159.22 is: 238.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.23 : 307.40 = 159.22 : x
  2. Step 2: Convert to fraction form
    205.23/307.40 = 159.22/x
  3. Step 3: Cross multiply
    205.23x = 307.40 × 159.22
  4. Step 4: Simplify right side
    205.23x = 48,942.09
  5. Step 5: Solve for x
    x = 48,942.09/205.23
  6. Step 6: Final answer
    x = 238.47

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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.