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Finding the Fourth Proportional to 299.32, 412.93 and 174.94

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Solution

The fourth proportional to 299.32, 412.93 and 174.94 is: 241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.32 : 412.93 = 174.94 : x
  2. Step 2: Convert to fraction form
    299.32/412.93 = 174.94/x
  3. Step 3: Cross multiply
    299.32x = 412.93 × 174.94
  4. Step 4: Simplify right side
    299.32x = 72,237.97
  5. Step 5: Solve for x
    x = 72,237.97/299.32
  6. Step 6: Final answer
    x = 241.34

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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.