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Finding the Fourth Proportional to 313.75, 470.63 and 142.75

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Solution

The fourth proportional to 313.75, 470.63 and 142.75 is: 214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.75 : 470.63 = 142.75 : x
  2. Step 2: Convert to fraction form
    313.75/470.63 = 142.75/x
  3. Step 3: Cross multiply
    313.75x = 470.63 × 142.75
  4. Step 4: Simplify right side
    313.75x = 67,182.43
  5. Step 5: Solve for x
    x = 67,182.43/313.75
  6. Step 6: Final answer
    x = 214.13

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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.