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Finding the Fourth Proportional to 343.53, 514.90 and 189.37

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Solution

The fourth proportional to 343.53, 514.90 and 189.37 is: 283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.53 : 514.90 = 189.37 : x
  2. Step 2: Convert to fraction form
    343.53/514.90 = 189.37/x
  3. Step 3: Cross multiply
    343.53x = 514.90 × 189.37
  4. Step 4: Simplify right side
    343.53x = 97,507.49
  5. Step 5: Solve for x
    x = 97,507.49/343.53
  6. Step 6: Final answer
    x = 283.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.