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Finding the Fourth Proportional to 290.02, 400.16 and 177.96

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Solution

The fourth proportional to 290.02, 400.16 and 177.96 is: 245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.02 : 400.16 = 177.96 : x
  2. Step 2: Convert to fraction form
    290.02/400.16 = 177.96/x
  3. Step 3: Cross multiply
    290.02x = 400.16 × 177.96
  4. Step 4: Simplify right side
    290.02x = 71,212.47
  5. Step 5: Solve for x
    x = 71,212.47/290.02
  6. Step 6: Final answer
    x = 245.54

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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.