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Finding the Fourth Proportional to 216.40, 324.64 and 120.24

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Solution

The fourth proportional to 216.40, 324.64 and 120.24 is: 180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.40 : 324.64 = 120.24 : x
  2. Step 2: Convert to fraction form
    216.40/324.64 = 120.24/x
  3. Step 3: Cross multiply
    216.40x = 324.64 × 120.24
  4. Step 4: Simplify right side
    216.40x = 39,034.71
  5. Step 5: Solve for x
    x = 39,034.71/216.40
  6. Step 6: Final answer
    x = 180.38

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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.