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Finding the Fourth Proportional to 216.42, 326.23 and 194.10

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Solution

The fourth proportional to 216.42, 326.23 and 194.10 is: 292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 326.23 = 194.10 : x
  2. Step 2: Convert to fraction form
    216.42/326.23 = 194.10/x
  3. Step 3: Cross multiply
    216.42x = 326.23 × 194.10
  4. Step 4: Simplify right side
    216.42x = 63,319.53
  5. Step 5: Solve for x
    x = 63,319.53/216.42
  6. Step 6: Final answer
    x = 292.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.