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Finding the Fourth Proportional to 297.78, 410.95 and 166.78

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Solution

The fourth proportional to 297.78, 410.95 and 166.78 is: 230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.78 : 410.95 = 166.78 : x
  2. Step 2: Convert to fraction form
    297.78/410.95 = 166.78/x
  3. Step 3: Cross multiply
    297.78x = 410.95 × 166.78
  4. Step 4: Simplify right side
    297.78x = 68,536.19
  5. Step 5: Solve for x
    x = 68,536.19/297.78
  6. Step 6: Final answer
    x = 230.16

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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.