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Finding the Fourth Proportional to 346.32, 519.46 and 140.84

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Solution

The fourth proportional to 346.32, 519.46 and 140.84 is: 211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.32 : 519.46 = 140.84 : x
  2. Step 2: Convert to fraction form
    346.32/519.46 = 140.84/x
  3. Step 3: Cross multiply
    346.32x = 519.46 × 140.84
  4. Step 4: Simplify right side
    346.32x = 73,160.75
  5. Step 5: Solve for x
    x = 73,160.75/346.32
  6. Step 6: Final answer
    x = 211.25

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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.