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Finding the Fourth Proportional to 313.60, 470.38 and 108.11

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Solution

The fourth proportional to 313.60, 470.38 and 108.11 is: 162.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.60 : 470.38 = 108.11 : x
  2. Step 2: Convert to fraction form
    313.60/470.38 = 108.11/x
  3. Step 3: Cross multiply
    313.60x = 470.38 × 108.11
  4. Step 4: Simplify right side
    313.60x = 50,852.87
  5. Step 5: Solve for x
    x = 50,852.87/313.60
  6. Step 6: Final answer
    x = 162.16

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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.