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Finding the Fourth Proportional to 343.50, 514.78 and 158.30

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Solution

The fourth proportional to 343.50, 514.78 and 158.30 is: 237.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.50 : 514.78 = 158.30 : x
  2. Step 2: Convert to fraction form
    343.50/514.78 = 158.30/x
  3. Step 3: Cross multiply
    343.50x = 514.78 × 158.30
  4. Step 4: Simplify right side
    343.50x = 81,487.30
  5. Step 5: Solve for x
    x = 81,487.30/343.50
  6. Step 6: Final answer
    x = 237.23

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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.