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Finding the Fourth Proportional to 312.64, 431.46 and 174.64

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Solution

The fourth proportional to 312.64, 431.46 and 174.64 is: 241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.64 : 431.46 = 174.64 : x
  2. Step 2: Convert to fraction form
    312.64/431.46 = 174.64/x
  3. Step 3: Cross multiply
    312.64x = 431.46 × 174.64
  4. Step 4: Simplify right side
    312.64x = 75,350.17
  5. Step 5: Solve for x
    x = 75,350.17/312.64
  6. Step 6: Final answer
    x = 241.01

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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.