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Finding the Fourth Proportional to 216.44, 325.91 and 178.28

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Solution

The fourth proportional to 216.44, 325.91 and 178.28 is: 268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.44 : 325.91 = 178.28 : x
  2. Step 2: Convert to fraction form
    216.44/325.91 = 178.28/x
  3. Step 3: Cross multiply
    216.44x = 325.91 × 178.28
  4. Step 4: Simplify right side
    216.44x = 58,103.23
  5. Step 5: Solve for x
    x = 58,103.23/216.44
  6. Step 6: Final answer
    x = 268.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.