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Finding the Fourth Proportional to 290.19, 434.96 and 159.90

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Solution

The fourth proportional to 290.19, 434.96 and 159.90 is: 239.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.19 : 434.96 = 159.90 : x
  2. Step 2: Convert to fraction form
    290.19/434.96 = 159.90/x
  3. Step 3: Cross multiply
    290.19x = 434.96 × 159.90
  4. Step 4: Simplify right side
    290.19x = 69,548.27
  5. Step 5: Solve for x
    x = 69,548.27/290.19
  6. Step 6: Final answer
    x = 239.67

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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.