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Finding the Fourth Proportional to 290.70, 401.28 and 180.22

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Solution

The fourth proportional to 290.70, 401.28 and 180.22 is: 248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.70 : 401.28 = 180.22 : x
  2. Step 2: Convert to fraction form
    290.70/401.28 = 180.22/x
  3. Step 3: Cross multiply
    290.70x = 401.28 × 180.22
  4. Step 4: Simplify right side
    290.70x = 72,318.68
  5. Step 5: Solve for x
    x = 72,318.68/290.70
  6. Step 6: Final answer
    x = 248.77

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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.