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Finding the Fourth Proportional to 216.16, 323.76 and 188.80

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Solution

The fourth proportional to 216.16, 323.76 and 188.80 is: 282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.16 : 323.76 = 188.80 : x
  2. Step 2: Convert to fraction form
    216.16/323.76 = 188.80/x
  3. Step 3: Cross multiply
    216.16x = 323.76 × 188.80
  4. Step 4: Simplify right side
    216.16x = 61,125.89
  5. Step 5: Solve for x
    x = 61,125.89/216.16
  6. Step 6: Final answer
    x = 282.78

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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.