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Finding the Fourth Proportional to 343.10, 514.20 and 189.08

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Solution

The fourth proportional to 343.10, 514.20 and 189.08 is: 283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.10 : 514.20 = 189.08 : x
  2. Step 2: Convert to fraction form
    343.10/514.20 = 189.08/x
  3. Step 3: Cross multiply
    343.10x = 514.20 × 189.08
  4. Step 4: Simplify right side
    343.10x = 97,224.94
  5. Step 5: Solve for x
    x = 97,224.94/343.10
  6. Step 6: Final answer
    x = 283.37

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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.