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Finding the Fourth Proportional to 205.21, 307.77 and 60.90

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Solution

The fourth proportional to 205.21, 307.77 and 60.90 is: 91.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.21 : 307.77 = 60.90 : x
  2. Step 2: Convert to fraction form
    205.21/307.77 = 60.90/x
  3. Step 3: Cross multiply
    205.21x = 307.77 × 60.90
  4. Step 4: Simplify right side
    205.21x = 18,743.19
  5. Step 5: Solve for x
    x = 18,743.19/205.21
  6. Step 6: Final answer
    x = 91.34

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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.