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Finding the Fourth Proportional to 343.02, 514.01 and 160.20

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Solution

The fourth proportional to 343.02, 514.01 and 160.20 is: 240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.02 : 514.01 = 160.20 : x
  2. Step 2: Convert to fraction form
    343.02/514.01 = 160.20/x
  3. Step 3: Cross multiply
    343.02x = 514.01 × 160.20
  4. Step 4: Simplify right side
    343.02x = 82,344.40
  5. Step 5: Solve for x
    x = 82,344.40/343.02
  6. Step 6: Final answer
    x = 240.06

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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.