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Finding the Fourth Proportional to 196.61, 292.96 and 175.07

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Solution

The fourth proportional to 196.61, 292.96 and 175.07 is: 260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.61 : 292.96 = 175.07 : x
  2. Step 2: Convert to fraction form
    196.61/292.96 = 175.07/x
  3. Step 3: Cross multiply
    196.61x = 292.96 × 175.07
  4. Step 4: Simplify right side
    196.61x = 51,288.80
  5. Step 5: Solve for x
    x = 51,288.80/196.61
  6. Step 6: Final answer
    x = 260.87

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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.