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Finding the Fourth Proportional to 346.70, 519.87 and 192.40

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Solution

The fourth proportional to 346.70, 519.87 and 192.40 is: 288.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.70 : 519.87 = 192.40 : x
  2. Step 2: Convert to fraction form
    346.70/519.87 = 192.40/x
  3. Step 3: Cross multiply
    346.70x = 519.87 × 192.40
  4. Step 4: Simplify right side
    346.70x = 100,022.41
  5. Step 5: Solve for x
    x = 100,022.41/346.70
  6. Step 6: Final answer
    x = 288.50

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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.