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Finding the Fourth Proportional to 313.05, 469.21 and 130.33

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Solution

The fourth proportional to 313.05, 469.21 and 130.33 is: 195.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.05 : 469.21 = 130.33 : x
  2. Step 2: Convert to fraction form
    313.05/469.21 = 130.33/x
  3. Step 3: Cross multiply
    313.05x = 469.21 × 130.33
  4. Step 4: Simplify right side
    313.05x = 61,152.14
  5. Step 5: Solve for x
    x = 61,152.14/313.05
  6. Step 6: Final answer
    x = 195.34

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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.