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Finding the Fourth Proportional to 196.76, 293.80 and 176.06

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Solution

The fourth proportional to 196.76, 293.80 and 176.06 is: 262.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.76 : 293.80 = 176.06 : x
  2. Step 2: Convert to fraction form
    196.76/293.80 = 176.06/x
  3. Step 3: Cross multiply
    196.76x = 293.80 × 176.06
  4. Step 4: Simplify right side
    196.76x = 51,726.43
  5. Step 5: Solve for x
    x = 51,726.43/196.76
  6. Step 6: Final answer
    x = 262.89

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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.