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Finding the Fourth Proportional to 313.59, 470.35 and 108.12

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Solution

The fourth proportional to 313.59, 470.35 and 108.12 is: 162.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.59 : 470.35 = 108.12 : x
  2. Step 2: Convert to fraction form
    313.59/470.35 = 108.12/x
  3. Step 3: Cross multiply
    313.59x = 470.35 × 108.12
  4. Step 4: Simplify right side
    313.59x = 50,854.24
  5. Step 5: Solve for x
    x = 50,854.24/313.59
  6. Step 6: Final answer
    x = 162.17

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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.