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Finding the Fourth Proportional to 313.28, 469.99 and 96.85

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Solution

The fourth proportional to 313.28, 469.99 and 96.85 is: 145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.28 : 469.99 = 96.85 : x
  2. Step 2: Convert to fraction form
    313.28/469.99 = 96.85/x
  3. Step 3: Cross multiply
    313.28x = 469.99 × 96.85
  4. Step 4: Simplify right side
    313.28x = 45,518.53
  5. Step 5: Solve for x
    x = 45,518.53/313.28
  6. Step 6: Final answer
    x = 145.30

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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.