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Finding the Fourth Proportional to 434.09, 650.66 and 159.95

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Solution

The fourth proportional to 434.09, 650.66 and 159.95 is: 239.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.09 : 650.66 = 159.95 : x
  2. Step 2: Convert to fraction form
    434.09/650.66 = 159.95/x
  3. Step 3: Cross multiply
    434.09x = 650.66 × 159.95
  4. Step 4: Simplify right side
    434.09x = 104,069.01
  5. Step 5: Solve for x
    x = 104,069.01/434.09
  6. Step 6: Final answer
    x = 239.74

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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.