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Finding the Fourth Proportional to 312.60, 431.44 and 181.64

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Solution

The fourth proportional to 312.60, 431.44 and 181.64 is: 250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.60 : 431.44 = 181.64 : x
  2. Step 2: Convert to fraction form
    312.60/431.44 = 181.64/x
  3. Step 3: Cross multiply
    312.60x = 431.44 × 181.64
  4. Step 4: Simplify right side
    312.60x = 78,366.76
  5. Step 5: Solve for x
    x = 78,366.76/312.60
  6. Step 6: Final answer
    x = 250.69

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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.