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Finding the Fourth Proportional to 285.05, 427.28 and 206.77

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Solution

The fourth proportional to 285.05, 427.28 and 206.77 is: 309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.05 : 427.28 = 206.77 : x
  2. Step 2: Convert to fraction form
    285.05/427.28 = 206.77/x
  3. Step 3: Cross multiply
    285.05x = 427.28 × 206.77
  4. Step 4: Simplify right side
    285.05x = 88,349.24
  5. Step 5: Solve for x
    x = 88,349.24/285.05
  6. Step 6: Final answer
    x = 309.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.