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Finding the Fourth Proportional to 202.53, 303.50 and 165.81

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Solution

The fourth proportional to 202.53, 303.50 and 165.81 is: 248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.53 : 303.50 = 165.81 : x
  2. Step 2: Convert to fraction form
    202.53/303.50 = 165.81/x
  3. Step 3: Cross multiply
    202.53x = 303.50 × 165.81
  4. Step 4: Simplify right side
    202.53x = 50,322.51
  5. Step 5: Solve for x
    x = 50,322.51/202.53
  6. Step 6: Final answer
    x = 248.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.