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Finding the Fourth Proportional to 205.34, 307.82 and 77

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Solution

The fourth proportional to 205.34, 307.82 and 77 is: 115.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.34 : 307.82 = 77 : x
  2. Step 2: Convert to fraction form
    205.34/307.82 = 77/x
  3. Step 3: Cross multiply
    205.34x = 307.82 × 77
  4. Step 4: Simplify right side
    205.34x = 23,702.14
  5. Step 5: Solve for x
    x = 23,702.14/205.34
  6. Step 6: Final answer
    x = 115.43

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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.