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Finding the Fourth Proportional to 290.52, 400.82 and 180.02

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Solution

The fourth proportional to 290.52, 400.82 and 180.02 is: 248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.52 : 400.82 = 180.02 : x
  2. Step 2: Convert to fraction form
    290.52/400.82 = 180.02/x
  3. Step 3: Cross multiply
    290.52x = 400.82 × 180.02
  4. Step 4: Simplify right side
    290.52x = 72,152.71
  5. Step 5: Solve for x
    x = 72,152.71/290.52
  6. Step 6: Final answer
    x = 248.36

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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.