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Finding the Fourth Proportional to 313.47, 470.34 and 130.95

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Solution

The fourth proportional to 313.47, 470.34 and 130.95 is: 196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.47 : 470.34 = 130.95 : x
  2. Step 2: Convert to fraction form
    313.47/470.34 = 130.95/x
  3. Step 3: Cross multiply
    313.47x = 470.34 × 130.95
  4. Step 4: Simplify right side
    313.47x = 61,591.02
  5. Step 5: Solve for x
    x = 61,591.02/313.47
  6. Step 6: Final answer
    x = 196.48

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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.