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Finding the Fourth Proportional to 319.10, 478.36 and 164.68

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Solution

The fourth proportional to 319.10, 478.36 and 164.68 is: 246.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.10 : 478.36 = 164.68 : x
  2. Step 2: Convert to fraction form
    319.10/478.36 = 164.68/x
  3. Step 3: Cross multiply
    319.10x = 478.36 × 164.68
  4. Step 4: Simplify right side
    319.10x = 78,776.32
  5. Step 5: Solve for x
    x = 78,776.32/319.10
  6. Step 6: Final answer
    x = 246.87

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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.