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Finding the Fourth Proportional to 311.53, 466.58 and 174.30

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Solution

The fourth proportional to 311.53, 466.58 and 174.30 is: 261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.53 : 466.58 = 174.30 : x
  2. Step 2: Convert to fraction form
    311.53/466.58 = 174.30/x
  3. Step 3: Cross multiply
    311.53x = 466.58 × 174.30
  4. Step 4: Simplify right side
    311.53x = 81,324.89
  5. Step 5: Solve for x
    x = 81,324.89/311.53
  6. Step 6: Final answer
    x = 261.05

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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.