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Finding the Fourth Proportional to 155.83, 233.73 and 138.85

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Solution

The fourth proportional to 155.83, 233.73 and 138.85 is: 208.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.83 : 233.73 = 138.85 : x
  2. Step 2: Convert to fraction form
    155.83/233.73 = 138.85/x
  3. Step 3: Cross multiply
    155.83x = 233.73 × 138.85
  4. Step 4: Simplify right side
    155.83x = 32,453.41
  5. Step 5: Solve for x
    x = 32,453.41/155.83
  6. Step 6: Final answer
    x = 208.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.