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Finding the Fourth Proportional to 434.12, 650.57 and 159.94

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Solution

The fourth proportional to 434.12, 650.57 and 159.94 is: 239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.12 : 650.57 = 159.94 : x
  2. Step 2: Convert to fraction form
    434.12/650.57 = 159.94/x
  3. Step 3: Cross multiply
    434.12x = 650.57 × 159.94
  4. Step 4: Simplify right side
    434.12x = 104,048.11
  5. Step 5: Solve for x
    x = 104,048.11/434.12
  6. Step 6: Final answer
    x = 239.68

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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.