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Finding the Fourth Proportional to 313.49, 470.14 and 130.84

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Solution

The fourth proportional to 313.49, 470.14 and 130.84 is: 196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.49 : 470.14 = 130.84 : x
  2. Step 2: Convert to fraction form
    313.49/470.14 = 130.84/x
  3. Step 3: Cross multiply
    313.49x = 470.14 × 130.84
  4. Step 4: Simplify right side
    313.49x = 61,513.12
  5. Step 5: Solve for x
    x = 61,513.12/313.49
  6. Step 6: Final answer
    x = 196.22

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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.