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Finding the Fourth Proportional to 206, 307.14 and 193.76

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Solution

The fourth proportional to 206, 307.14 and 193.76 is: 288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206 : 307.14 = 193.76 : x
  2. Step 2: Convert to fraction form
    206/307.14 = 193.76/x
  3. Step 3: Cross multiply
    206x = 307.14 × 193.76
  4. Step 4: Simplify right side
    206x = 59,511.45
  5. Step 5: Solve for x
    x = 59,511.45/206
  6. Step 6: Final answer
    x = 288.89

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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.