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Finding the Fourth Proportional to 233.95, 350.95 and 71.65

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Solution

The fourth proportional to 233.95, 350.95 and 71.65 is: 107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.95 : 350.95 = 71.65 : x
  2. Step 2: Convert to fraction form
    233.95/350.95 = 71.65/x
  3. Step 3: Cross multiply
    233.95x = 350.95 × 71.65
  4. Step 4: Simplify right side
    233.95x = 25,145.57
  5. Step 5: Solve for x
    x = 25,145.57/233.95
  6. Step 6: Final answer
    x = 107.48

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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.