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Finding the Fourth Proportional to 290.69, 401.18 and 178.76

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Solution

The fourth proportional to 290.69, 401.18 and 178.76 is: 246.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.69 : 401.18 = 178.76 : x
  2. Step 2: Convert to fraction form
    290.69/401.18 = 178.76/x
  3. Step 3: Cross multiply
    290.69x = 401.18 × 178.76
  4. Step 4: Simplify right side
    290.69x = 71,713.29
  5. Step 5: Solve for x
    x = 71,713.29/290.69
  6. Step 6: Final answer
    x = 246.70

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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.