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Finding the Fourth Proportional to 346.21, 519.74 and 229.18

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Solution

The fourth proportional to 346.21, 519.74 and 229.18 is: 344.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.21 : 519.74 = 229.18 : x
  2. Step 2: Convert to fraction form
    346.21/519.74 = 229.18/x
  3. Step 3: Cross multiply
    346.21x = 519.74 × 229.18
  4. Step 4: Simplify right side
    346.21x = 119,114.05
  5. Step 5: Solve for x
    x = 119,114.05/346.21
  6. Step 6: Final answer
    x = 344.05

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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.