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Finding the Fourth Proportional to 346.02, 518.86 and 199.76

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Solution

The fourth proportional to 346.02, 518.86 and 199.76 is: 299.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.02 : 518.86 = 199.76 : x
  2. Step 2: Convert to fraction form
    346.02/518.86 = 199.76/x
  3. Step 3: Cross multiply
    346.02x = 518.86 × 199.76
  4. Step 4: Simplify right side
    346.02x = 103,647.47
  5. Step 5: Solve for x
    x = 103,647.47/346.02
  6. Step 6: Final answer
    x = 299.54

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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.