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Finding the Fourth Proportional to 312.87, 469.11 and 130.41

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Solution

The fourth proportional to 312.87, 469.11 and 130.41 is: 195.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.87 : 469.11 = 130.41 : x
  2. Step 2: Convert to fraction form
    312.87/469.11 = 130.41/x
  3. Step 3: Cross multiply
    312.87x = 469.11 × 130.41
  4. Step 4: Simplify right side
    312.87x = 61,176.64
  5. Step 5: Solve for x
    x = 61,176.64/312.87
  6. Step 6: Final answer
    x = 195.53

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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.