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Finding the Fourth Proportional to 290.68, 401.12 and 180.16

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Solution

The fourth proportional to 290.68, 401.12 and 180.16 is: 248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.68 : 401.12 = 180.16 : x
  2. Step 2: Convert to fraction form
    290.68/401.12 = 180.16/x
  3. Step 3: Cross multiply
    290.68x = 401.12 × 180.16
  4. Step 4: Simplify right side
    290.68x = 72,265.78
  5. Step 5: Solve for x
    x = 72,265.78/290.68
  6. Step 6: Final answer
    x = 248.61

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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.