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Finding the Fourth Proportional to 313.60, 470.58 and 169.48

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Solution

The fourth proportional to 313.60, 470.58 and 169.48 is: 254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.60 : 470.58 = 169.48 : x
  2. Step 2: Convert to fraction form
    313.60/470.58 = 169.48/x
  3. Step 3: Cross multiply
    313.60x = 470.58 × 169.48
  4. Step 4: Simplify right side
    313.60x = 79,753.90
  5. Step 5: Solve for x
    x = 79,753.90/313.60
  6. Step 6: Final answer
    x = 254.32

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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.