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Finding the Fourth Proportional to 216.84, 325.26 and 125.31

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Solution

The fourth proportional to 216.84, 325.26 and 125.31 is: 187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.84 : 325.26 = 125.31 : x
  2. Step 2: Convert to fraction form
    216.84/325.26 = 125.31/x
  3. Step 3: Cross multiply
    216.84x = 325.26 × 125.31
  4. Step 4: Simplify right side
    216.84x = 40,758.33
  5. Step 5: Solve for x
    x = 40,758.33/216.84
  6. Step 6: Final answer
    x = 187.97

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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.