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Finding the Fourth Proportional to 206.37, 284.91 and 151.05

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Solution

The fourth proportional to 206.37, 284.91 and 151.05 is: 208.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.37 : 284.91 = 151.05 : x
  2. Step 2: Convert to fraction form
    206.37/284.91 = 151.05/x
  3. Step 3: Cross multiply
    206.37x = 284.91 × 151.05
  4. Step 4: Simplify right side
    206.37x = 43,035.66
  5. Step 5: Solve for x
    x = 43,035.66/206.37
  6. Step 6: Final answer
    x = 208.54

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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.