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Finding the Fourth Proportional to 340.72, 510.26 and 196.00

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Solution

The fourth proportional to 340.72, 510.26 and 196.00 is: 293.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.72 : 510.26 = 196.00 : x
  2. Step 2: Convert to fraction form
    340.72/510.26 = 196.00/x
  3. Step 3: Cross multiply
    340.72x = 510.26 × 196.00
  4. Step 4: Simplify right side
    340.72x = 100,007.43
  5. Step 5: Solve for x
    x = 100,007.43/340.72
  6. Step 6: Final answer
    x = 293.52

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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.