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Finding the Fourth Proportional to 313.14, 469.70 and 82.03

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Solution

The fourth proportional to 313.14, 469.70 and 82.03 is: 123.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.14 : 469.70 = 82.03 : x
  2. Step 2: Convert to fraction form
    313.14/469.70 = 82.03/x
  3. Step 3: Cross multiply
    313.14x = 469.70 × 82.03
  4. Step 4: Simplify right side
    313.14x = 38,528.52
  5. Step 5: Solve for x
    x = 38,528.52/313.14
  6. Step 6: Final answer
    x = 123.04

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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.