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Finding the Fourth Proportional to 196.07, 292.69 and 155.07

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Solution

The fourth proportional to 196.07, 292.69 and 155.07 is: 231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.07 : 292.69 = 155.07 : x
  2. Step 2: Convert to fraction form
    196.07/292.69 = 155.07/x
  3. Step 3: Cross multiply
    196.07x = 292.69 × 155.07
  4. Step 4: Simplify right side
    196.07x = 45,387.63
  5. Step 5: Solve for x
    x = 45,387.63/196.07
  6. Step 6: Final answer
    x = 231.49

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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.