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Finding the Fourth Proportional to 343.38, 514.73 and 189.15

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Solution

The fourth proportional to 343.38, 514.73 and 189.15 is: 283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.38 : 514.73 = 189.15 : x
  2. Step 2: Convert to fraction form
    343.38/514.73 = 189.15/x
  3. Step 3: Cross multiply
    343.38x = 514.73 × 189.15
  4. Step 4: Simplify right side
    343.38x = 97,360.23
  5. Step 5: Solve for x
    x = 97,360.23/343.38
  6. Step 6: Final answer
    x = 283.54

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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.