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Finding the Fourth Proportional to 313.25, 469.81 and 105.02

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Solution

The fourth proportional to 313.25, 469.81 and 105.02 is: 157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.25 : 469.81 = 105.02 : x
  2. Step 2: Convert to fraction form
    313.25/469.81 = 105.02/x
  3. Step 3: Cross multiply
    313.25x = 469.81 × 105.02
  4. Step 4: Simplify right side
    313.25x = 49,336.57
  5. Step 5: Solve for x
    x = 49,336.57/313.25
  6. Step 6: Final answer
    x = 157.50

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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.