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Finding the Fourth Proportional to 290.40, 400.74 and 179.91

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Solution

The fourth proportional to 290.40, 400.74 and 179.91 is: 248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.40 : 400.74 = 179.91 : x
  2. Step 2: Convert to fraction form
    290.40/400.74 = 179.91/x
  3. Step 3: Cross multiply
    290.40x = 400.74 × 179.91
  4. Step 4: Simplify right side
    290.40x = 72,097.13
  5. Step 5: Solve for x
    x = 72,097.13/290.40
  6. Step 6: Final answer
    x = 248.27

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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.