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Finding the Fourth Proportional to 233.00, 348.77 and 141.41

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Solution

The fourth proportional to 233.00, 348.77 and 141.41 is: 211.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.00 : 348.77 = 141.41 : x
  2. Step 2: Convert to fraction form
    233.00/348.77 = 141.41/x
  3. Step 3: Cross multiply
    233.00x = 348.77 × 141.41
  4. Step 4: Simplify right side
    233.00x = 49,318.18
  5. Step 5: Solve for x
    x = 49,318.18/233.00
  6. Step 6: Final answer
    x = 211.66

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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.