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Finding the Fourth Proportional to 233.50, 350.26 and 165.10

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Solution

The fourth proportional to 233.50, 350.26 and 165.10 is: 247.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.50 : 350.26 = 165.10 : x
  2. Step 2: Convert to fraction form
    233.50/350.26 = 165.10/x
  3. Step 3: Cross multiply
    233.50x = 350.26 × 165.10
  4. Step 4: Simplify right side
    233.50x = 57,827.93
  5. Step 5: Solve for x
    x = 57,827.93/233.50
  6. Step 6: Final answer
    x = 247.66

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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.