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Finding the Fourth Proportional to 290.84, 436.55 and 169.34

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Solution

The fourth proportional to 290.84, 436.55 and 169.34 is: 254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.84 : 436.55 = 169.34 : x
  2. Step 2: Convert to fraction form
    290.84/436.55 = 169.34/x
  3. Step 3: Cross multiply
    290.84x = 436.55 × 169.34
  4. Step 4: Simplify right side
    290.84x = 73,922.35
  5. Step 5: Solve for x
    x = 73,922.35/290.84
  6. Step 6: Final answer
    x = 254.17

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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.