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Finding the Fourth Proportional to 196.39, 293.21 and 176.95

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Solution

The fourth proportional to 196.39, 293.21 and 176.95 is: 264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.39 : 293.21 = 176.95 : x
  2. Step 2: Convert to fraction form
    196.39/293.21 = 176.95/x
  3. Step 3: Cross multiply
    196.39x = 293.21 × 176.95
  4. Step 4: Simplify right side
    196.39x = 51,883.22
  5. Step 5: Solve for x
    x = 51,883.22/196.39
  6. Step 6: Final answer
    x = 264.19

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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.