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Finding the Fourth Proportional to 346.30, 519.00 and 140.63

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Solution

The fourth proportional to 346.30, 519.00 and 140.63 is: 210.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.30 : 519.00 = 140.63 : x
  2. Step 2: Convert to fraction form
    346.30/519.00 = 140.63/x
  3. Step 3: Cross multiply
    346.30x = 519.00 × 140.63
  4. Step 4: Simplify right side
    346.30x = 72,984.02
  5. Step 5: Solve for x
    x = 72,984.02/346.30
  6. Step 6: Final answer
    x = 210.76

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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.