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Finding the Fourth Proportional to 216.95, 325.28 and 120.83

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Solution

The fourth proportional to 216.95, 325.28 and 120.83 is: 181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.95 : 325.28 = 120.83 : x
  2. Step 2: Convert to fraction form
    216.95/325.28 = 120.83/x
  3. Step 3: Cross multiply
    216.95x = 325.28 × 120.83
  4. Step 4: Simplify right side
    216.95x = 39,302.26
  5. Step 5: Solve for x
    x = 39,302.26/216.95
  6. Step 6: Final answer
    x = 181.16

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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.