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Finding the Fourth Proportional to 206.51, 284.99 and 189.77

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Solution

The fourth proportional to 206.51, 284.99 and 189.77 is: 261.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.51 : 284.99 = 189.77 : x
  2. Step 2: Convert to fraction form
    206.51/284.99 = 189.77/x
  3. Step 3: Cross multiply
    206.51x = 284.99 × 189.77
  4. Step 4: Simplify right side
    206.51x = 54,080.18
  5. Step 5: Solve for x
    x = 54,080.18/206.51
  6. Step 6: Final answer
    x = 261.88

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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.