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Finding the Fourth Proportional to 205.74, 307.89 and 159.93

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Solution

The fourth proportional to 205.74, 307.89 and 159.93 is: 239.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.74 : 307.89 = 159.93 : x
  2. Step 2: Convert to fraction form
    205.74/307.89 = 159.93/x
  3. Step 3: Cross multiply
    205.74x = 307.89 × 159.93
  4. Step 4: Simplify right side
    205.74x = 49,240.85
  5. Step 5: Solve for x
    x = 49,240.85/205.74
  6. Step 6: Final answer
    x = 239.34

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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.