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Finding the Fourth Proportional to 313.09, 469.66 and 96.82

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Solution

The fourth proportional to 313.09, 469.66 and 96.82 is: 145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.09 : 469.66 = 96.82 : x
  2. Step 2: Convert to fraction form
    313.09/469.66 = 96.82/x
  3. Step 3: Cross multiply
    313.09x = 469.66 × 96.82
  4. Step 4: Simplify right side
    313.09x = 45,472.48
  5. Step 5: Solve for x
    x = 45,472.48/313.09
  6. Step 6: Final answer
    x = 145.24

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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.