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Finding the Fourth Proportional to 313.44, 470.12 and 96.98

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Solution

The fourth proportional to 313.44, 470.12 and 96.98 is: 145.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.44 : 470.12 = 96.98 : x
  2. Step 2: Convert to fraction form
    313.44/470.12 = 96.98/x
  3. Step 3: Cross multiply
    313.44x = 470.12 × 96.98
  4. Step 4: Simplify right side
    313.44x = 45,592.24
  5. Step 5: Solve for x
    x = 45,592.24/313.44
  6. Step 6: Final answer
    x = 145.46

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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.