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Finding the Fourth Proportional to 205.69, 307.84 and 160.25

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Solution

The fourth proportional to 205.69, 307.84 and 160.25 is: 239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.69 : 307.84 = 160.25 : x
  2. Step 2: Convert to fraction form
    205.69/307.84 = 160.25/x
  3. Step 3: Cross multiply
    205.69x = 307.84 × 160.25
  4. Step 4: Simplify right side
    205.69x = 49,330.88
  5. Step 5: Solve for x
    x = 49,330.88/205.69
  6. Step 6: Final answer
    x = 239.83

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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.