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Finding the Fourth Proportional to 206.10, 284.25 and 166.77

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Solution

The fourth proportional to 206.10, 284.25 and 166.77 is: 230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.10 : 284.25 = 166.77 : x
  2. Step 2: Convert to fraction form
    206.10/284.25 = 166.77/x
  3. Step 3: Cross multiply
    206.10x = 284.25 × 166.77
  4. Step 4: Simplify right side
    206.10x = 47,404.37
  5. Step 5: Solve for x
    x = 47,404.37/206.10
  6. Step 6: Final answer
    x = 230.01

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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.