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Finding the Fourth Proportional to 290.49, 400.76 and 178.42

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Solution

The fourth proportional to 290.49, 400.76 and 178.42 is: 246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.49 : 400.76 = 178.42 : x
  2. Step 2: Convert to fraction form
    290.49/400.76 = 178.42/x
  3. Step 3: Cross multiply
    290.49x = 400.76 × 178.42
  4. Step 4: Simplify right side
    290.49x = 71,503.60
  5. Step 5: Solve for x
    x = 71,503.60/290.49
  6. Step 6: Final answer
    x = 246.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.