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Finding the Fourth Proportional to 196.99, 293.51 and 175.43

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Solution

The fourth proportional to 196.99, 293.51 and 175.43 is: 261.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.99 : 293.51 = 175.43 : x
  2. Step 2: Convert to fraction form
    196.99/293.51 = 175.43/x
  3. Step 3: Cross multiply
    196.99x = 293.51 × 175.43
  4. Step 4: Simplify right side
    196.99x = 51,491.63
  5. Step 5: Solve for x
    x = 51,491.63/196.99
  6. Step 6: Final answer
    x = 261.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.