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Finding the Fourth Proportional to 205.37, 307.96 and 61.05

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Solution

The fourth proportional to 205.37, 307.96 and 61.05 is: 91.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.37 : 307.96 = 61.05 : x
  2. Step 2: Convert to fraction form
    205.37/307.96 = 61.05/x
  3. Step 3: Cross multiply
    205.37x = 307.96 × 61.05
  4. Step 4: Simplify right side
    205.37x = 18,802.30
  5. Step 5: Solve for x
    x = 18,802.30/205.37
  6. Step 6: Final answer
    x = 91.55

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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.