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Finding the Fourth Proportional to 433.74, 650.52 and 125.55

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Solution

The fourth proportional to 433.74, 650.52 and 125.55 is: 188.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.74 : 650.52 = 125.55 : x
  2. Step 2: Convert to fraction form
    433.74/650.52 = 125.55/x
  3. Step 3: Cross multiply
    433.74x = 650.52 × 125.55
  4. Step 4: Simplify right side
    433.74x = 81,672.79
  5. Step 5: Solve for x
    x = 81,672.79/433.74
  6. Step 6: Final answer
    x = 188.30

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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.