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Finding the Fourth Proportional to 317.92, 438.70 and 178.04

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Solution

The fourth proportional to 317.92, 438.70 and 178.04 is: 245.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.92 : 438.70 = 178.04 : x
  2. Step 2: Convert to fraction form
    317.92/438.70 = 178.04/x
  3. Step 3: Cross multiply
    317.92x = 438.70 × 178.04
  4. Step 4: Simplify right side
    317.92x = 78,106.15
  5. Step 5: Solve for x
    x = 78,106.15/317.92
  6. Step 6: Final answer
    x = 245.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.