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Finding the Fourth Proportional to 290.52, 434.97 and 153.27

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Solution

The fourth proportional to 290.52, 434.97 and 153.27 is: 229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.52 : 434.97 = 153.27 : x
  2. Step 2: Convert to fraction form
    290.52/434.97 = 153.27/x
  3. Step 3: Cross multiply
    290.52x = 434.97 × 153.27
  4. Step 4: Simplify right side
    290.52x = 66,667.85
  5. Step 5: Solve for x
    x = 66,667.85/290.52
  6. Step 6: Final answer
    x = 229.48

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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.