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Finding the Fourth Proportional to 233.95, 352.50 and 194.26

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Solution

The fourth proportional to 233.95, 352.50 and 194.26 is: 292.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.95 : 352.50 = 194.26 : x
  2. Step 2: Convert to fraction form
    233.95/352.50 = 194.26/x
  3. Step 3: Cross multiply
    233.95x = 352.50 × 194.26
  4. Step 4: Simplify right side
    233.95x = 68,475.37
  5. Step 5: Solve for x
    x = 68,475.37/233.95
  6. Step 6: Final answer
    x = 292.70

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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.