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Finding the Fourth Proportional to 202.60, 303.69 and 165.67

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Solution

The fourth proportional to 202.60, 303.69 and 165.67 is: 248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.60 : 303.69 = 165.67 : x
  2. Step 2: Convert to fraction form
    202.60/303.69 = 165.67/x
  3. Step 3: Cross multiply
    202.60x = 303.69 × 165.67
  4. Step 4: Simplify right side
    202.60x = 50,312.32
  5. Step 5: Solve for x
    x = 50,312.32/202.60
  6. Step 6: Final answer
    x = 248.33

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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.