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Finding the Fourth Proportional to 202.55, 302.38 and 183.11

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Solution

The fourth proportional to 202.55, 302.38 and 183.11 is: 273.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.55 : 302.38 = 183.11 : x
  2. Step 2: Convert to fraction form
    202.55/302.38 = 183.11/x
  3. Step 3: Cross multiply
    202.55x = 302.38 × 183.11
  4. Step 4: Simplify right side
    202.55x = 55,366.83
  5. Step 5: Solve for x
    x = 55,366.83/202.55
  6. Step 6: Final answer
    x = 273.36

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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.