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Finding the Fourth Proportional to 183.34, 273.70 and 152.97

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Solution

The fourth proportional to 183.34, 273.70 and 152.97 is: 228.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.34 : 273.70 = 152.97 : x
  2. Step 2: Convert to fraction form
    183.34/273.70 = 152.97/x
  3. Step 3: Cross multiply
    183.34x = 273.70 × 152.97
  4. Step 4: Simplify right side
    183.34x = 41,867.89
  5. Step 5: Solve for x
    x = 41,867.89/183.34
  6. Step 6: Final answer
    x = 228.36

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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.