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Finding the Fourth Proportional to 433.31, 650.06 and 125.17

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Solution

The fourth proportional to 433.31, 650.06 and 125.17 is: 187.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.31 : 650.06 = 125.17 : x
  2. Step 2: Convert to fraction form
    433.31/650.06 = 125.17/x
  3. Step 3: Cross multiply
    433.31x = 650.06 × 125.17
  4. Step 4: Simplify right side
    433.31x = 81,364.76
  5. Step 5: Solve for x
    x = 81,364.76/433.31
  6. Step 6: Final answer
    x = 187.77

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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.