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Finding the Fourth Proportional to 433.35, 650.26 and 159.40

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Solution

The fourth proportional to 433.35, 650.26 and 159.40 is: 239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.35 : 650.26 = 159.40 : x
  2. Step 2: Convert to fraction form
    433.35/650.26 = 159.40/x
  3. Step 3: Cross multiply
    433.35x = 650.26 × 159.40
  4. Step 4: Simplify right side
    433.35x = 103,652.46
  5. Step 5: Solve for x
    x = 103,652.46/433.35
  6. Step 6: Final answer
    x = 239.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.