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Finding the Fourth Proportional to 290.56, 435.72 and 194.98

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Solution

The fourth proportional to 290.56, 435.72 and 194.98 is: 292.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.56 : 435.72 = 194.98 : x
  2. Step 2: Convert to fraction form
    290.56/435.72 = 194.98/x
  3. Step 3: Cross multiply
    290.56x = 435.72 × 194.98
  4. Step 4: Simplify right side
    290.56x = 84,956.69
  5. Step 5: Solve for x
    x = 84,956.69/290.56
  6. Step 6: Final answer
    x = 292.39

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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.