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Finding the Fourth Proportional to 205.61, 307.94 and 159.30

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Solution

The fourth proportional to 205.61, 307.94 and 159.30 is: 238.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.61 : 307.94 = 159.30 : x
  2. Step 2: Convert to fraction form
    205.61/307.94 = 159.30/x
  3. Step 3: Cross multiply
    205.61x = 307.94 × 159.30
  4. Step 4: Simplify right side
    205.61x = 49,054.05
  5. Step 5: Solve for x
    x = 49,054.05/205.61
  6. Step 6: Final answer
    x = 238.58

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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.