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Finding the Fourth Proportional to 233.46, 350.31 and 130.77

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Solution

The fourth proportional to 233.46, 350.31 and 130.77 is: 196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.46 : 350.31 = 130.77 : x
  2. Step 2: Convert to fraction form
    233.46/350.31 = 130.77/x
  3. Step 3: Cross multiply
    233.46x = 350.31 × 130.77
  4. Step 4: Simplify right side
    233.46x = 45,810.04
  5. Step 5: Solve for x
    x = 45,810.04/233.46
  6. Step 6: Final answer
    x = 196.22

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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.