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Finding the Fourth Proportional to 216.56, 325.30 and 165.03

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Solution

The fourth proportional to 216.56, 325.30 and 165.03 is: 247.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.56 : 325.30 = 165.03 : x
  2. Step 2: Convert to fraction form
    216.56/325.30 = 165.03/x
  3. Step 3: Cross multiply
    216.56x = 325.30 × 165.03
  4. Step 4: Simplify right side
    216.56x = 53,684.26
  5. Step 5: Solve for x
    x = 53,684.26/216.56
  6. Step 6: Final answer
    x = 247.90

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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.