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Finding the Fourth Proportional to 233.50, 350.33 and 117.93

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Solution

The fourth proportional to 233.50, 350.33 and 117.93 is: 176.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.50 : 350.33 = 117.93 : x
  2. Step 2: Convert to fraction form
    233.50/350.33 = 117.93/x
  3. Step 3: Cross multiply
    233.50x = 350.33 × 117.93
  4. Step 4: Simplify right side
    233.50x = 41,314.42
  5. Step 5: Solve for x
    x = 41,314.42/233.50
  6. Step 6: Final answer
    x = 176.94

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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.