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Finding the Fourth Proportional to 205.05, 307.78 and 147.34

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Solution

The fourth proportional to 205.05, 307.78 and 147.34 is: 221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.05 : 307.78 = 147.34 : x
  2. Step 2: Convert to fraction form
    205.05/307.78 = 147.34/x
  3. Step 3: Cross multiply
    205.05x = 307.78 × 147.34
  4. Step 4: Simplify right side
    205.05x = 45,348.31
  5. Step 5: Solve for x
    x = 45,348.31/205.05
  6. Step 6: Final answer
    x = 221.16

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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.