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Finding the Fourth Proportional to 290.82, 436.28 and 169.02

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Solution

The fourth proportional to 290.82, 436.28 and 169.02 is: 253.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.82 : 436.28 = 169.02 : x
  2. Step 2: Convert to fraction form
    290.82/436.28 = 169.02/x
  3. Step 3: Cross multiply
    290.82x = 436.28 × 169.02
  4. Step 4: Simplify right side
    290.82x = 73,739.20
  5. Step 5: Solve for x
    x = 73,739.20/290.82
  6. Step 6: Final answer
    x = 253.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.