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Finding the Fourth Proportional to 313.80, 433.08 and 197.34

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Solution

The fourth proportional to 313.80, 433.08 and 197.34 is: 272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.80 : 433.08 = 197.34 : x
  2. Step 2: Convert to fraction form
    313.80/433.08 = 197.34/x
  3. Step 3: Cross multiply
    313.80x = 433.08 × 197.34
  4. Step 4: Simplify right side
    313.80x = 85,464.01
  5. Step 5: Solve for x
    x = 85,464.01/313.80
  6. Step 6: Final answer
    x = 272.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.