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Finding the Fourth Proportional to 313.87, 470.39 and 140.58

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Solution

The fourth proportional to 313.87, 470.39 and 140.58 is: 210.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.87 : 470.39 = 140.58 : x
  2. Step 2: Convert to fraction form
    313.87/470.39 = 140.58/x
  3. Step 3: Cross multiply
    313.87x = 470.39 × 140.58
  4. Step 4: Simplify right side
    313.87x = 66,127.43
  5. Step 5: Solve for x
    x = 66,127.43/313.87
  6. Step 6: Final answer
    x = 210.68

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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.