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Finding the Fourth Proportional to 313.90, 433.16 and 189.50

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Solution

The fourth proportional to 313.90, 433.16 and 189.50 is: 261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.90 : 433.16 = 189.50 : x
  2. Step 2: Convert to fraction form
    313.90/433.16 = 189.50/x
  3. Step 3: Cross multiply
    313.90x = 433.16 × 189.50
  4. Step 4: Simplify right side
    313.90x = 82,083.82
  5. Step 5: Solve for x
    x = 82,083.82/313.90
  6. Step 6: Final answer
    x = 261.50

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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.