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Finding the Fourth Proportional to 205.08, 307.70 and 91

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Solution

The fourth proportional to 205.08, 307.70 and 91 is: 136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.08 : 307.70 = 91 : x
  2. Step 2: Convert to fraction form
    205.08/307.70 = 91/x
  3. Step 3: Cross multiply
    205.08x = 307.70 × 91
  4. Step 4: Simplify right side
    205.08x = 28,000.70
  5. Step 5: Solve for x
    x = 28,000.70/205.08
  6. Step 6: Final answer
    x = 136.54

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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.