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Finding the Fourth Proportional to 313.26, 469.88 and 82.15

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Solution

The fourth proportional to 313.26, 469.88 and 82.15 is: 123.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.26 : 469.88 = 82.15 : x
  2. Step 2: Convert to fraction form
    313.26/469.88 = 82.15/x
  3. Step 3: Cross multiply
    313.26x = 469.88 × 82.15
  4. Step 4: Simplify right side
    313.26x = 38,599.13
  5. Step 5: Solve for x
    x = 38,599.13/313.26
  6. Step 6: Final answer
    x = 123.22

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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.