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Finding the Fourth Proportional to 346.13, 519.47 and 201.95

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Solution

The fourth proportional to 346.13, 519.47 and 201.95 is: 303.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.13 : 519.47 = 201.95 : x
  2. Step 2: Convert to fraction form
    346.13/519.47 = 201.95/x
  3. Step 3: Cross multiply
    346.13x = 519.47 × 201.95
  4. Step 4: Simplify right side
    346.13x = 104,903.36
  5. Step 5: Solve for x
    x = 104,903.36/346.13
  6. Step 6: Final answer
    x = 303.08

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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.