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Finding the Fourth Proportional to 313.53, 470.17 and 105.25

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Solution

The fourth proportional to 313.53, 470.17 and 105.25 is: 157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.53 : 470.17 = 105.25 : x
  2. Step 2: Convert to fraction form
    313.53/470.17 = 105.25/x
  3. Step 3: Cross multiply
    313.53x = 470.17 × 105.25
  4. Step 4: Simplify right side
    313.53x = 49,482.52
  5. Step 5: Solve for x
    x = 49,482.52/313.53
  6. Step 6: Final answer
    x = 157.83

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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.