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Finding the Fourth Proportional to 216.26, 322.82 and 186.02

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Solution

The fourth proportional to 216.26, 322.82 and 186.02 is: 277.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.26 : 322.82 = 186.02 : x
  2. Step 2: Convert to fraction form
    216.26/322.82 = 186.02/x
  3. Step 3: Cross multiply
    216.26x = 322.82 × 186.02
  4. Step 4: Simplify right side
    216.26x = 60,050.98
  5. Step 5: Solve for x
    x = 60,050.98/216.26
  6. Step 6: Final answer
    x = 277.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.