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Finding the Fourth Proportional to 433.86, 650.67 and 125.71

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Solution

The fourth proportional to 433.86, 650.67 and 125.71 is: 188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.86 : 650.67 = 125.71 : x
  2. Step 2: Convert to fraction form
    433.86/650.67 = 125.71/x
  3. Step 3: Cross multiply
    433.86x = 650.67 × 125.71
  4. Step 4: Simplify right side
    433.86x = 81,793.63
  5. Step 5: Solve for x
    x = 81,793.63/433.86
  6. Step 6: Final answer
    x = 188.52

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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.