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Finding the Fourth Proportional to 313.51, 469.95 and 107.98

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Solution

The fourth proportional to 313.51, 469.95 and 107.98 is: 161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.51 : 469.95 = 107.98 : x
  2. Step 2: Convert to fraction form
    313.51/469.95 = 107.98/x
  3. Step 3: Cross multiply
    313.51x = 469.95 × 107.98
  4. Step 4: Simplify right side
    313.51x = 50,745.20
  5. Step 5: Solve for x
    x = 50,745.20/313.51
  6. Step 6: Final answer
    x = 161.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.