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Finding the Fourth Proportional to 313.44, 470.06 and 96.96

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Solution

The fourth proportional to 313.44, 470.06 and 96.96 is: 145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.44 : 470.06 = 96.96 : x
  2. Step 2: Convert to fraction form
    313.44/470.06 = 96.96/x
  3. Step 3: Cross multiply
    313.44x = 470.06 × 96.96
  4. Step 4: Simplify right side
    313.44x = 45,577.02
  5. Step 5: Solve for x
    x = 45,577.02/313.44
  6. Step 6: Final answer
    x = 145.41

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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.