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Finding the Fourth Proportional to 233.80, 323.14 and 216

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Solution

The fourth proportional to 233.80, 323.14 and 216 is: 298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.80 : 323.14 = 216 : x
  2. Step 2: Convert to fraction form
    233.80/323.14 = 216/x
  3. Step 3: Cross multiply
    233.80x = 323.14 × 216
  4. Step 4: Simplify right side
    233.80x = 69,798.24
  5. Step 5: Solve for x
    x = 69,798.24/233.80
  6. Step 6: Final answer
    x = 298.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.