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Finding the Fourth Proportional to 313.78, 470.03 and 142.90

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Solution

The fourth proportional to 313.78, 470.03 and 142.90 is: 214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.78 : 470.03 = 142.90 : x
  2. Step 2: Convert to fraction form
    313.78/470.03 = 142.90/x
  3. Step 3: Cross multiply
    313.78x = 470.03 × 142.90
  4. Step 4: Simplify right side
    313.78x = 67,167.29
  5. Step 5: Solve for x
    x = 67,167.29/313.78
  6. Step 6: Final answer
    x = 214.06

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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.