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Finding the Fourth Proportional to 151.99, 227.80 and 65.27

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Solution

The fourth proportional to 151.99, 227.80 and 65.27 is: 97.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.99 : 227.80 = 65.27 : x
  2. Step 2: Convert to fraction form
    151.99/227.80 = 65.27/x
  3. Step 3: Cross multiply
    151.99x = 227.80 × 65.27
  4. Step 4: Simplify right side
    151.99x = 14,867.20
  5. Step 5: Solve for x
    x = 14,867.20/151.99
  6. Step 6: Final answer
    x = 97.82

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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.