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Finding the Fourth Proportional to 318.46, 478.14 and 164.50

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Solution

The fourth proportional to 318.46, 478.14 and 164.50 is: 246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.46 : 478.14 = 164.50 : x
  2. Step 2: Convert to fraction form
    318.46/478.14 = 164.50/x
  3. Step 3: Cross multiply
    318.46x = 478.14 × 164.50
  4. Step 4: Simplify right side
    318.46x = 78,654.03
  5. Step 5: Solve for x
    x = 78,654.03/318.46
  6. Step 6: Final answer
    x = 246.98

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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.