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Finding the Fourth Proportional to 313.32, 469.70 and 107.74

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Solution

The fourth proportional to 313.32, 469.70 and 107.74 is: 161.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.32 : 469.70 = 107.74 : x
  2. Step 2: Convert to fraction form
    313.32/469.70 = 107.74/x
  3. Step 3: Cross multiply
    313.32x = 469.70 × 107.74
  4. Step 4: Simplify right side
    313.32x = 50,606.59
  5. Step 5: Solve for x
    x = 50,606.59/313.32
  6. Step 6: Final answer
    x = 161.52

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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.