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Finding the Fourth Proportional to 216.50, 324.75 and 64.50

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Solution

The fourth proportional to 216.50, 324.75 and 64.50 is: 96.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.50 : 324.75 = 64.50 : x
  2. Step 2: Convert to fraction form
    216.50/324.75 = 64.50/x
  3. Step 3: Cross multiply
    216.50x = 324.75 × 64.50
  4. Step 4: Simplify right side
    216.50x = 20,946.38
  5. Step 5: Solve for x
    x = 20,946.38/216.50
  6. Step 6: Final answer
    x = 96.75

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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.