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Finding the Fourth Proportional to 311.04, 466.37 and 146.54

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Solution

The fourth proportional to 311.04, 466.37 and 146.54 is: 219.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.04 : 466.37 = 146.54 : x
  2. Step 2: Convert to fraction form
    311.04/466.37 = 146.54/x
  3. Step 3: Cross multiply
    311.04x = 466.37 × 146.54
  4. Step 4: Simplify right side
    311.04x = 68,341.42
  5. Step 5: Solve for x
    x = 68,341.42/311.04
  6. Step 6: Final answer
    x = 219.72

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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.