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Finding the Fourth Proportional to 290.70, 436.32 and 136.71

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Solution

The fourth proportional to 290.70, 436.32 and 136.71 is: 205.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.70 : 436.32 = 136.71 : x
  2. Step 2: Convert to fraction form
    290.70/436.32 = 136.71/x
  3. Step 3: Cross multiply
    290.70x = 436.32 × 136.71
  4. Step 4: Simplify right side
    290.70x = 59,649.31
  5. Step 5: Solve for x
    x = 59,649.31/290.70
  6. Step 6: Final answer
    x = 205.19

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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.