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Finding the Fourth Proportional to 205.03, 307.86 and 166.56

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Solution

The fourth proportional to 205.03, 307.86 and 166.56 is: 250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.03 : 307.86 = 166.56 : x
  2. Step 2: Convert to fraction form
    205.03/307.86 = 166.56/x
  3. Step 3: Cross multiply
    205.03x = 307.86 × 166.56
  4. Step 4: Simplify right side
    205.03x = 51,277.16
  5. Step 5: Solve for x
    x = 51,277.16/205.03
  6. Step 6: Final answer
    x = 250.10

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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.