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Finding the Fourth Proportional to 343.24, 514.64 and 181.00

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Solution

The fourth proportional to 343.24, 514.64 and 181.00 is: 271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.24 : 514.64 = 181.00 : x
  2. Step 2: Convert to fraction form
    343.24/514.64 = 181.00/x
  3. Step 3: Cross multiply
    343.24x = 514.64 × 181.00
  4. Step 4: Simplify right side
    343.24x = 93,147.27
  5. Step 5: Solve for x
    x = 93,147.27/343.24
  6. Step 6: Final answer
    x = 271.38

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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.