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Finding the Fourth Proportional to 313.98, 470.64 and 116.19

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Solution

The fourth proportional to 313.98, 470.64 and 116.19 is: 174.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.98 : 470.64 = 116.19 : x
  2. Step 2: Convert to fraction form
    313.98/470.64 = 116.19/x
  3. Step 3: Cross multiply
    313.98x = 470.64 × 116.19
  4. Step 4: Simplify right side
    313.98x = 54,683.66
  5. Step 5: Solve for x
    x = 54,683.66/313.98
  6. Step 6: Final answer
    x = 174.16

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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.