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Finding the Fourth Proportional to 206.24, 307.60 and 191.84

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Solution

The fourth proportional to 206.24, 307.60 and 191.84 is: 286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.24 : 307.60 = 191.84 : x
  2. Step 2: Convert to fraction form
    206.24/307.60 = 191.84/x
  3. Step 3: Cross multiply
    206.24x = 307.60 × 191.84
  4. Step 4: Simplify right side
    206.24x = 59,009.98
  5. Step 5: Solve for x
    x = 59,009.98/206.24
  6. Step 6: Final answer
    x = 286.12

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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.