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Finding the Fourth Proportional to 290.10, 400.14 and 179.54

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Solution

The fourth proportional to 290.10, 400.14 and 179.54 is: 247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.10 : 400.14 = 179.54 : x
  2. Step 2: Convert to fraction form
    290.10/400.14 = 179.54/x
  3. Step 3: Cross multiply
    290.10x = 400.14 × 179.54
  4. Step 4: Simplify right side
    290.10x = 71,841.14
  5. Step 5: Solve for x
    x = 71,841.14/290.10
  6. Step 6: Final answer
    x = 247.64

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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.