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Finding the Fourth Proportional to 346.05, 518.31 and 189.37

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Solution

The fourth proportional to 346.05, 518.31 and 189.37 is: 283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.05 : 518.31 = 189.37 : x
  2. Step 2: Convert to fraction form
    346.05/518.31 = 189.37/x
  3. Step 3: Cross multiply
    346.05x = 518.31 × 189.37
  4. Step 4: Simplify right side
    346.05x = 98,152.36
  5. Step 5: Solve for x
    x = 98,152.36/346.05
  6. Step 6: Final answer
    x = 283.64

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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.