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Finding the Fourth Proportional to 313.23, 470.05 and 130.78

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Solution

The fourth proportional to 313.23, 470.05 and 130.78 is: 196.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.23 : 470.05 = 130.78 : x
  2. Step 2: Convert to fraction form
    313.23/470.05 = 130.78/x
  3. Step 3: Cross multiply
    313.23x = 470.05 × 130.78
  4. Step 4: Simplify right side
    313.23x = 61,471.64
  5. Step 5: Solve for x
    x = 61,471.64/313.23
  6. Step 6: Final answer
    x = 196.25

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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.