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Finding the Fourth Proportional to 146.85, 219.30 and 117.39

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Solution

The fourth proportional to 146.85, 219.30 and 117.39 is: 175.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.85 : 219.30 = 117.39 : x
  2. Step 2: Convert to fraction form
    146.85/219.30 = 117.39/x
  3. Step 3: Cross multiply
    146.85x = 219.30 × 117.39
  4. Step 4: Simplify right side
    146.85x = 25,743.63
  5. Step 5: Solve for x
    x = 25,743.63/146.85
  6. Step 6: Final answer
    x = 175.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.