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Finding the Fourth Proportional to 297.69, 410.97 and 187.34

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Solution

The fourth proportional to 297.69, 410.97 and 187.34 is: 258.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.69 : 410.97 = 187.34 : x
  2. Step 2: Convert to fraction form
    297.69/410.97 = 187.34/x
  3. Step 3: Cross multiply
    297.69x = 410.97 × 187.34
  4. Step 4: Simplify right side
    297.69x = 76,989.06
  5. Step 5: Solve for x
    x = 76,989.06/297.69
  6. Step 6: Final answer
    x = 258.62

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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.