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Finding the Fourth Proportional to 317.96, 438.77 and 178.06

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Solution

The fourth proportional to 317.96, 438.77 and 178.06 is: 245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.96 : 438.77 = 178.06 : x
  2. Step 2: Convert to fraction form
    317.96/438.77 = 178.06/x
  3. Step 3: Cross multiply
    317.96x = 438.77 × 178.06
  4. Step 4: Simplify right side
    317.96x = 78,125.82
  5. Step 5: Solve for x
    x = 78,125.82/317.96
  6. Step 6: Final answer
    x = 245.71

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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.