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Finding the Fourth Proportional to 313.45, 469.82 and 130.62

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Solution

The fourth proportional to 313.45, 469.82 and 130.62 is: 195.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.45 : 469.82 = 130.62 : x
  2. Step 2: Convert to fraction form
    313.45/469.82 = 130.62/x
  3. Step 3: Cross multiply
    313.45x = 469.82 × 130.62
  4. Step 4: Simplify right side
    313.45x = 61,367.89
  5. Step 5: Solve for x
    x = 61,367.89/313.45
  6. Step 6: Final answer
    x = 195.78

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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.