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Finding the Fourth Proportional to 233.53, 350.01 and 117.86

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Solution

The fourth proportional to 233.53, 350.01 and 117.86 is: 176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.53 : 350.01 = 117.86 : x
  2. Step 2: Convert to fraction form
    233.53/350.01 = 117.86/x
  3. Step 3: Cross multiply
    233.53x = 350.01 × 117.86
  4. Step 4: Simplify right side
    233.53x = 41,250.43
  5. Step 5: Solve for x
    x = 41,250.43/233.53
  6. Step 6: Final answer
    x = 176.64

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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.