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Finding the Fourth Proportional to 297.51, 410.62 and 166.52

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Solution

The fourth proportional to 297.51, 410.62 and 166.52 is: 229.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.51 : 410.62 = 166.52 : x
  2. Step 2: Convert to fraction form
    297.51/410.62 = 166.52/x
  3. Step 3: Cross multiply
    297.51x = 410.62 × 166.52
  4. Step 4: Simplify right side
    297.51x = 68,376.44
  5. Step 5: Solve for x
    x = 68,376.44/297.51
  6. Step 6: Final answer
    x = 229.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.