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Finding the Fourth Proportional to 220.79, 304.76 and 206.93

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Solution

The fourth proportional to 220.79, 304.76 and 206.93 is: 285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.79 : 304.76 = 206.93 : x
  2. Step 2: Convert to fraction form
    220.79/304.76 = 206.93/x
  3. Step 3: Cross multiply
    220.79x = 304.76 × 206.93
  4. Step 4: Simplify right side
    220.79x = 63,063.99
  5. Step 5: Solve for x
    x = 63,063.99/220.79
  6. Step 6: Final answer
    x = 285.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.