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Finding the Fourth Proportional to 150.68, 227.30 and 146.72

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Solution

The fourth proportional to 150.68, 227.30 and 146.72 is: 221.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.68 : 227.30 = 146.72 : x
  2. Step 2: Convert to fraction form
    150.68/227.30 = 146.72/x
  3. Step 3: Cross multiply
    150.68x = 227.30 × 146.72
  4. Step 4: Simplify right side
    150.68x = 33,349.46
  5. Step 5: Solve for x
    x = 33,349.46/150.68
  6. Step 6: Final answer
    x = 221.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.