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Finding the Fourth Proportional to 434.09, 650.99 and 125.96

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Solution

The fourth proportional to 434.09, 650.99 and 125.96 is: 188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.09 : 650.99 = 125.96 : x
  2. Step 2: Convert to fraction form
    434.09/650.99 = 125.96/x
  3. Step 3: Cross multiply
    434.09x = 650.99 × 125.96
  4. Step 4: Simplify right side
    434.09x = 81,999.66
  5. Step 5: Solve for x
    x = 81,999.66/434.09
  6. Step 6: Final answer
    x = 188.90

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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.