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Finding the Fourth Proportional to 312.98, 469.54 and 107.56

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Solution

The fourth proportional to 312.98, 469.54 and 107.56 is: 161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.98 : 469.54 = 107.56 : x
  2. Step 2: Convert to fraction form
    312.98/469.54 = 107.56/x
  3. Step 3: Cross multiply
    312.98x = 469.54 × 107.56
  4. Step 4: Simplify right side
    312.98x = 50,503.72
  5. Step 5: Solve for x
    x = 50,503.72/312.98
  6. Step 6: Final answer
    x = 161.36

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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.