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Finding the Fourth Proportional to 233.45, 350.21 and 117.86

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Solution

The fourth proportional to 233.45, 350.21 and 117.86 is: 176.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.45 : 350.21 = 117.86 : x
  2. Step 2: Convert to fraction form
    233.45/350.21 = 117.86/x
  3. Step 3: Cross multiply
    233.45x = 350.21 × 117.86
  4. Step 4: Simplify right side
    233.45x = 41,276.04
  5. Step 5: Solve for x
    x = 41,276.04/233.45
  6. Step 6: Final answer
    x = 176.81

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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.