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Finding the Fourth Proportional to 259.74, 358.56 and 227.34

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Solution

The fourth proportional to 259.74, 358.56 and 227.34 is: 313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.74 : 358.56 = 227.34 : x
  2. Step 2: Convert to fraction form
    259.74/358.56 = 227.34/x
  3. Step 3: Cross multiply
    259.74x = 358.56 × 227.34
  4. Step 4: Simplify right side
    259.74x = 81,515.03
  5. Step 5: Solve for x
    x = 81,515.03/259.74
  6. Step 6: Final answer
    x = 313.83

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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.