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Finding the Fourth Proportional to 233.65, 350.41 and 152.92

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Solution

The fourth proportional to 233.65, 350.41 and 152.92 is: 229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.65 : 350.41 = 152.92 : x
  2. Step 2: Convert to fraction form
    233.65/350.41 = 152.92/x
  3. Step 3: Cross multiply
    233.65x = 350.41 × 152.92
  4. Step 4: Simplify right side
    233.65x = 53,584.70
  5. Step 5: Solve for x
    x = 53,584.70/233.65
  6. Step 6: Final answer
    x = 229.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.