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Finding the Fourth Proportional to 216.46, 324.57 and 113.50

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Solution

The fourth proportional to 216.46, 324.57 and 113.50 is: 170.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.46 : 324.57 = 113.50 : x
  2. Step 2: Convert to fraction form
    216.46/324.57 = 113.50/x
  3. Step 3: Cross multiply
    216.46x = 324.57 × 113.50
  4. Step 4: Simplify right side
    216.46x = 36,838.70
  5. Step 5: Solve for x
    x = 36,838.70/216.46
  6. Step 6: Final answer
    x = 170.19

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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.