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Finding the Fourth Proportional to 290.46, 435.96 and 136.47

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Solution

The fourth proportional to 290.46, 435.96 and 136.47 is: 204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.46 : 435.96 = 136.47 : x
  2. Step 2: Convert to fraction form
    290.46/435.96 = 136.47/x
  3. Step 3: Cross multiply
    290.46x = 435.96 × 136.47
  4. Step 4: Simplify right side
    290.46x = 59,495.46
  5. Step 5: Solve for x
    x = 59,495.46/290.46
  6. Step 6: Final answer
    x = 204.83

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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.