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Finding the Fourth Proportional to 290.98, 436.28 and 108.22

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Solution

The fourth proportional to 290.98, 436.28 and 108.22 is: 162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.98 : 436.28 = 108.22 : x
  2. Step 2: Convert to fraction form
    290.98/436.28 = 108.22/x
  3. Step 3: Cross multiply
    290.98x = 436.28 × 108.22
  4. Step 4: Simplify right side
    290.98x = 47,215.17
  5. Step 5: Solve for x
    x = 47,215.17/290.98
  6. Step 6: Final answer
    x = 162.26

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