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Finding the Fourth Proportional to 202.34, 303.96 and 175

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Solution

The fourth proportional to 202.34, 303.96 and 175 is: 262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.34 : 303.96 = 175 : x
  2. Step 2: Convert to fraction form
    202.34/303.96 = 175/x
  3. Step 3: Cross multiply
    202.34x = 303.96 × 175
  4. Step 4: Simplify right side
    202.34x = 53,193
  5. Step 5: Solve for x
    x = 53,193/202.34
  6. Step 6: Final answer
    x = 262.89

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