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Finding the Fourth Proportional to 216.98, 325.71 and 178.53

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Solution

The fourth proportional to 216.98, 325.71 and 178.53 is: 267.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.98 : 325.71 = 178.53 : x
  2. Step 2: Convert to fraction form
    216.98/325.71 = 178.53/x
  3. Step 3: Cross multiply
    216.98x = 325.71 × 178.53
  4. Step 4: Simplify right side
    216.98x = 58,149.01
  5. Step 5: Solve for x
    x = 58,149.01/216.98
  6. Step 6: Final answer
    x = 267.99

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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.