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Finding the Fourth Proportional to 312.07, 467.43 and 157.74

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Solution

The fourth proportional to 312.07, 467.43 and 157.74 is: 236.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.07 : 467.43 = 157.74 : x
  2. Step 2: Convert to fraction form
    312.07/467.43 = 157.74/x
  3. Step 3: Cross multiply
    312.07x = 467.43 × 157.74
  4. Step 4: Simplify right side
    312.07x = 73,730.07
  5. Step 5: Solve for x
    x = 73,730.07/312.07
  6. Step 6: Final answer
    x = 236.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.