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Finding the Fourth Proportional to 313.19, 469.77 and 82.08

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Solution

The fourth proportional to 313.19, 469.77 and 82.08 is: 123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.19 : 469.77 = 82.08 : x
  2. Step 2: Convert to fraction form
    313.19/469.77 = 82.08/x
  3. Step 3: Cross multiply
    313.19x = 469.77 × 82.08
  4. Step 4: Simplify right side
    313.19x = 38,558.72
  5. Step 5: Solve for x
    x = 38,558.72/313.19
  6. Step 6: Final answer
    x = 123.12

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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.