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Finding the Fourth Proportional to 313.29, 470.03 and 130.82

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Solution

The fourth proportional to 313.29, 470.03 and 130.82 is: 196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.29 : 470.03 = 130.82 : x
  2. Step 2: Convert to fraction form
    313.29/470.03 = 130.82/x
  3. Step 3: Cross multiply
    313.29x = 470.03 × 130.82
  4. Step 4: Simplify right side
    313.29x = 61,486.32
  5. Step 5: Solve for x
    x = 61,486.32/313.29
  6. Step 6: Final answer
    x = 196.26

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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.