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Finding the Fourth Proportional to 233.26, 349.72 and 117.61

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Solution

The fourth proportional to 233.26, 349.72 and 117.61 is: 176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.26 : 349.72 = 117.61 : x
  2. Step 2: Convert to fraction form
    233.26/349.72 = 117.61/x
  3. Step 3: Cross multiply
    233.26x = 349.72 × 117.61
  4. Step 4: Simplify right side
    233.26x = 41,128.82
  5. Step 5: Solve for x
    x = 41,128.82/233.26
  6. Step 6: Final answer
    x = 176.32

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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.