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Finding the Fourth Proportional to 313.57, 470.53 and 159.49

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Solution

The fourth proportional to 313.57, 470.53 and 159.49 is: 239.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.57 : 470.53 = 159.49 : x
  2. Step 2: Convert to fraction form
    313.57/470.53 = 159.49/x
  3. Step 3: Cross multiply
    313.57x = 470.53 × 159.49
  4. Step 4: Simplify right side
    313.57x = 75,044.83
  5. Step 5: Solve for x
    x = 75,044.83/313.57
  6. Step 6: Final answer
    x = 239.32

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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.