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Finding the Fourth Proportional to 225.16, 338.34 and 153.46

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Solution

The fourth proportional to 225.16, 338.34 and 153.46 is: 230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.16 : 338.34 = 153.46 : x
  2. Step 2: Convert to fraction form
    225.16/338.34 = 153.46/x
  3. Step 3: Cross multiply
    225.16x = 338.34 × 153.46
  4. Step 4: Simplify right side
    225.16x = 51,921.66
  5. Step 5: Solve for x
    x = 51,921.66/225.16
  6. Step 6: Final answer
    x = 230.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.