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Finding the Fourth Proportional to 290.91, 436.46 and 98.54

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Solution

The fourth proportional to 290.91, 436.46 and 98.54 is: 147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.91 : 436.46 = 98.54 : x
  2. Step 2: Convert to fraction form
    290.91/436.46 = 98.54/x
  3. Step 3: Cross multiply
    290.91x = 436.46 × 98.54
  4. Step 4: Simplify right side
    290.91x = 43,006.09
  5. Step 5: Solve for x
    x = 43,006.09/290.91
  6. Step 6: Final answer
    x = 147.83

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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.