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Finding the Fourth Proportional to 227.50, 341.26 and 99.26

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Solution

The fourth proportional to 227.50, 341.26 and 99.26 is: 148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.50 : 341.26 = 99.26 : x
  2. Step 2: Convert to fraction form
    227.50/341.26 = 99.26/x
  3. Step 3: Cross multiply
    227.50x = 341.26 × 99.26
  4. Step 4: Simplify right side
    227.50x = 33,873.47
  5. Step 5: Solve for x
    x = 33,873.47/227.50
  6. Step 6: Final answer
    x = 148.89

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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.