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Finding the Fourth Proportional to 312.72, 469.02 and 107.46

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Solution

The fourth proportional to 312.72, 469.02 and 107.46 is: 161.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.72 : 469.02 = 107.46 : x
  2. Step 2: Convert to fraction form
    312.72/469.02 = 107.46/x
  3. Step 3: Cross multiply
    312.72x = 469.02 × 107.46
  4. Step 4: Simplify right side
    312.72x = 50,400.89
  5. Step 5: Solve for x
    x = 50,400.89/312.72
  6. Step 6: Final answer
    x = 161.17

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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.