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Finding the Fourth Proportional to 312.58, 431.32 and 188.22

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Solution

The fourth proportional to 312.58, 431.32 and 188.22 is: 259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.58 : 431.32 = 188.22 : x
  2. Step 2: Convert to fraction form
    312.58/431.32 = 188.22/x
  3. Step 3: Cross multiply
    312.58x = 431.32 × 188.22
  4. Step 4: Simplify right side
    312.58x = 81,183.05
  5. Step 5: Solve for x
    x = 81,183.05/312.58
  6. Step 6: Final answer
    x = 259.72

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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.