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Finding the Fourth Proportional to 290.89, 435.25 and 182.17

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Solution

The fourth proportional to 290.89, 435.25 and 182.17 is: 272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.89 : 435.25 = 182.17 : x
  2. Step 2: Convert to fraction form
    290.89/435.25 = 182.17/x
  3. Step 3: Cross multiply
    290.89x = 435.25 × 182.17
  4. Step 4: Simplify right side
    290.89x = 79,289.49
  5. Step 5: Solve for x
    x = 79,289.49/290.89
  6. Step 6: Final answer
    x = 272.58

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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.