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Finding the Fourth Proportional to 183.80, 275.91 and 155.27

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Solution

The fourth proportional to 183.80, 275.91 and 155.27 is: 233.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.80 : 275.91 = 155.27 : x
  2. Step 2: Convert to fraction form
    183.80/275.91 = 155.27/x
  3. Step 3: Cross multiply
    183.80x = 275.91 × 155.27
  4. Step 4: Simplify right side
    183.80x = 42,839.10
  5. Step 5: Solve for x
    x = 42,839.10/183.80
  6. Step 6: Final answer
    x = 233.07

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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.