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Finding the Fourth Proportional to 151.53, 227.20 and 64.84

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Solution

The fourth proportional to 151.53, 227.20 and 64.84 is: 97.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.53 : 227.20 = 64.84 : x
  2. Step 2: Convert to fraction form
    151.53/227.20 = 64.84/x
  3. Step 3: Cross multiply
    151.53x = 227.20 × 64.84
  4. Step 4: Simplify right side
    151.53x = 14,731.65
  5. Step 5: Solve for x
    x = 14,731.65/151.53
  6. Step 6: Final answer
    x = 97.22

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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.