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Finding the Fourth Proportional to 202.37, 303.04 and 173.34

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Solution

The fourth proportional to 202.37, 303.04 and 173.34 is: 259.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.37 : 303.04 = 173.34 : x
  2. Step 2: Convert to fraction form
    202.37/303.04 = 173.34/x
  3. Step 3: Cross multiply
    202.37x = 303.04 × 173.34
  4. Step 4: Simplify right side
    202.37x = 52,529.17
  5. Step 5: Solve for x
    x = 52,529.17/202.37
  6. Step 6: Final answer
    x = 259.58

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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.