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Finding the Fourth Proportional to 233.70, 352.12 and 194.01

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Solution

The fourth proportional to 233.70, 352.12 and 194.01 is: 292.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.70 : 352.12 = 194.01 : x
  2. Step 2: Convert to fraction form
    233.70/352.12 = 194.01/x
  3. Step 3: Cross multiply
    233.70x = 352.12 × 194.01
  4. Step 4: Simplify right side
    233.70x = 68,314.80
  5. Step 5: Solve for x
    x = 68,314.80/233.70
  6. Step 6: Final answer
    x = 292.32

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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.