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Finding the Fourth Proportional to 355.00, 532.23 and 111.38

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Solution

The fourth proportional to 355.00, 532.23 and 111.38 is: 166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.00 : 532.23 = 111.38 : x
  2. Step 2: Convert to fraction form
    355.00/532.23 = 111.38/x
  3. Step 3: Cross multiply
    355.00x = 532.23 × 111.38
  4. Step 4: Simplify right side
    355.00x = 59,279.78
  5. Step 5: Solve for x
    x = 59,279.78/355.00
  6. Step 6: Final answer
    x = 166.99

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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.