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Finding the Fourth Proportional to 313.83, 470.77 and 97.42

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Solution

The fourth proportional to 313.83, 470.77 and 97.42 is: 146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.83 : 470.77 = 97.42 : x
  2. Step 2: Convert to fraction form
    313.83/470.77 = 97.42/x
  3. Step 3: Cross multiply
    313.83x = 470.77 × 97.42
  4. Step 4: Simplify right side
    313.83x = 45,862.41
  5. Step 5: Solve for x
    x = 45,862.41/313.83
  6. Step 6: Final answer
    x = 146.14

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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.