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Finding the Fourth Proportional to 225.66, 338.58 and 153.48

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Solution

The fourth proportional to 225.66, 338.58 and 153.48 is: 230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.66 : 338.58 = 153.48 : x
  2. Step 2: Convert to fraction form
    225.66/338.58 = 153.48/x
  3. Step 3: Cross multiply
    225.66x = 338.58 × 153.48
  4. Step 4: Simplify right side
    225.66x = 51,965.26
  5. Step 5: Solve for x
    x = 51,965.26/225.66
  6. Step 6: Final answer
    x = 230.28

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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.