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Finding the Fourth Proportional to 216.86, 324.45 and 130.23

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Solution

The fourth proportional to 216.86, 324.45 and 130.23 is: 194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.86 : 324.45 = 130.23 : x
  2. Step 2: Convert to fraction form
    216.86/324.45 = 130.23/x
  3. Step 3: Cross multiply
    216.86x = 324.45 × 130.23
  4. Step 4: Simplify right side
    216.86x = 42,253.12
  5. Step 5: Solve for x
    x = 42,253.12/216.86
  6. Step 6: Final answer
    x = 194.85

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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.