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Finding the Fourth Proportional to 146.25, 219.32 and 117.29

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Solution

The fourth proportional to 146.25, 219.32 and 117.29 is: 175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.25 : 219.32 = 117.29 : x
  2. Step 2: Convert to fraction form
    146.25/219.32 = 117.29/x
  3. Step 3: Cross multiply
    146.25x = 219.32 × 117.29
  4. Step 4: Simplify right side
    146.25x = 25,724.04
  5. Step 5: Solve for x
    x = 25,724.04/146.25
  6. Step 6: Final answer
    x = 175.89

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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.