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Finding the Fourth Proportional to 225.99, 338.88 and 89.01

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Solution

The fourth proportional to 225.99, 338.88 and 89.01 is: 133.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.99 : 338.88 = 89.01 : x
  2. Step 2: Convert to fraction form
    225.99/338.88 = 89.01/x
  3. Step 3: Cross multiply
    225.99x = 338.88 × 89.01
  4. Step 4: Simplify right side
    225.99x = 30,163.71
  5. Step 5: Solve for x
    x = 30,163.71/225.99
  6. Step 6: Final answer
    x = 133.47

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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.