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Finding the Fourth Proportional to 202.30, 302.84 and 174.86

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Solution

The fourth proportional to 202.30, 302.84 and 174.86 is: 261.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.30 : 302.84 = 174.86 : x
  2. Step 2: Convert to fraction form
    202.30/302.84 = 174.86/x
  3. Step 3: Cross multiply
    202.30x = 302.84 × 174.86
  4. Step 4: Simplify right side
    202.30x = 52,954.01
  5. Step 5: Solve for x
    x = 52,954.01/202.30
  6. Step 6: Final answer
    x = 261.76

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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.