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Finding the Fourth Proportional to 183.55, 273.38 and 177.16

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Solution

The fourth proportional to 183.55, 273.38 and 177.16 is: 263.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.55 : 273.38 = 177.16 : x
  2. Step 2: Convert to fraction form
    183.55/273.38 = 177.16/x
  3. Step 3: Cross multiply
    183.55x = 273.38 × 177.16
  4. Step 4: Simplify right side
    183.55x = 48,432.00
  5. Step 5: Solve for x
    x = 48,432.00/183.55
  6. Step 6: Final answer
    x = 263.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.