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Finding the Fourth Proportional to 155.96, 213.77 and 153.90

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Solution

The fourth proportional to 155.96, 213.77 and 153.90 is: 210.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.96 : 213.77 = 153.90 : x
  2. Step 2: Convert to fraction form
    155.96/213.77 = 153.90/x
  3. Step 3: Cross multiply
    155.96x = 213.77 × 153.90
  4. Step 4: Simplify right side
    155.96x = 32,898.43
  5. Step 5: Solve for x
    x = 32,898.43/155.96
  6. Step 6: Final answer
    x = 210.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.