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Finding the Fourth Proportional to 206.24, 307.92 and 185.76

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Solution

The fourth proportional to 206.24, 307.92 and 185.76 is: 277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.24 : 307.92 = 185.76 : x
  2. Step 2: Convert to fraction form
    206.24/307.92 = 185.76/x
  3. Step 3: Cross multiply
    206.24x = 307.92 × 185.76
  4. Step 4: Simplify right side
    206.24x = 57,199.22
  5. Step 5: Solve for x
    x = 57,199.22/206.24
  6. Step 6: Final answer
    x = 277.34

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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.