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Finding the Fourth Proportional to 313.27, 470.01 and 140.06

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Solution

The fourth proportional to 313.27, 470.01 and 140.06 is: 210.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.27 : 470.01 = 140.06 : x
  2. Step 2: Convert to fraction form
    313.27/470.01 = 140.06/x
  3. Step 3: Cross multiply
    313.27x = 470.01 × 140.06
  4. Step 4: Simplify right side
    313.27x = 65,829.60
  5. Step 5: Solve for x
    x = 65,829.60/313.27
  6. Step 6: Final answer
    x = 210.14

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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.