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Finding the Fourth Proportional to 317.50, 438.23 and 179.58

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Solution

The fourth proportional to 317.50, 438.23 and 179.58 is: 247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.50 : 438.23 = 179.58 : x
  2. Step 2: Convert to fraction form
    317.50/438.23 = 179.58/x
  3. Step 3: Cross multiply
    317.50x = 438.23 × 179.58
  4. Step 4: Simplify right side
    317.50x = 78,697.34
  5. Step 5: Solve for x
    x = 78,697.34/317.50
  6. Step 6: Final answer
    x = 247.87

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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.