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Finding the Fourth Proportional to 206.66, 284.64 and 185.88

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Solution

The fourth proportional to 206.66, 284.64 and 185.88 is: 256.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.66 : 284.64 = 185.88 : x
  2. Step 2: Convert to fraction form
    206.66/284.64 = 185.88/x
  3. Step 3: Cross multiply
    206.66x = 284.64 × 185.88
  4. Step 4: Simplify right side
    206.66x = 52,908.88
  5. Step 5: Solve for x
    x = 52,908.88/206.66
  6. Step 6: Final answer
    x = 256.02

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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.