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Finding the Fourth Proportional to 205.24, 307.80 and 75.22

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Solution

The fourth proportional to 205.24, 307.80 and 75.22 is: 112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.24 : 307.80 = 75.22 : x
  2. Step 2: Convert to fraction form
    205.24/307.80 = 75.22/x
  3. Step 3: Cross multiply
    205.24x = 307.80 × 75.22
  4. Step 4: Simplify right side
    205.24x = 23,151.18
  5. Step 5: Solve for x
    x = 23,151.18/205.24
  6. Step 6: Final answer
    x = 112.80

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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.