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Finding the Fourth Proportional to 216.30, 323.64 and 188.76

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Solution

The fourth proportional to 216.30, 323.64 and 188.76 is: 282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.30 : 323.64 = 188.76 : x
  2. Step 2: Convert to fraction form
    216.30/323.64 = 188.76/x
  3. Step 3: Cross multiply
    216.30x = 323.64 × 188.76
  4. Step 4: Simplify right side
    216.30x = 61,090.29
  5. Step 5: Solve for x
    x = 61,090.29/216.30
  6. Step 6: Final answer
    x = 282.43

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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.