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Finding the Fourth Proportional to 290.25, 400.50 and 179.82

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Solution

The fourth proportional to 290.25, 400.50 and 179.82 is: 248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.25 : 400.50 = 179.82 : x
  2. Step 2: Convert to fraction form
    290.25/400.50 = 179.82/x
  3. Step 3: Cross multiply
    290.25x = 400.50 × 179.82
  4. Step 4: Simplify right side
    290.25x = 72,017.91
  5. Step 5: Solve for x
    x = 72,017.91/290.25
  6. Step 6: Final answer
    x = 248.12

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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.