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Finding the Fourth Proportional to 206.58, 307.74 and 205.77

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Solution

The fourth proportional to 206.58, 307.74 and 205.77 is: 306.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.58 : 307.74 = 205.77 : x
  2. Step 2: Convert to fraction form
    206.58/307.74 = 205.77/x
  3. Step 3: Cross multiply
    206.58x = 307.74 × 205.77
  4. Step 4: Simplify right side
    206.58x = 63,323.66
  5. Step 5: Solve for x
    x = 63,323.66/206.58
  6. Step 6: Final answer
    x = 306.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.