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Finding the Fourth Proportional to 305.34, 421.52 and 206.27

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Solution

The fourth proportional to 305.34, 421.52 and 206.27 is: 284.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.34 : 421.52 = 206.27 : x
  2. Step 2: Convert to fraction form
    305.34/421.52 = 206.27/x
  3. Step 3: Cross multiply
    305.34x = 421.52 × 206.27
  4. Step 4: Simplify right side
    305.34x = 86,946.93
  5. Step 5: Solve for x
    x = 86,946.93/305.34
  6. Step 6: Final answer
    x = 284.75

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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.