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Finding the Fourth Proportional to 343.41, 514.75 and 189.42

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Solution

The fourth proportional to 343.41, 514.75 and 189.42 is: 283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.41 : 514.75 = 189.42 : x
  2. Step 2: Convert to fraction form
    343.41/514.75 = 189.42/x
  3. Step 3: Cross multiply
    343.41x = 514.75 × 189.42
  4. Step 4: Simplify right side
    343.41x = 97,503.95
  5. Step 5: Solve for x
    x = 97,503.95/343.41
  6. Step 6: Final answer
    x = 283.93

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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.