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Finding the Fourth Proportional to 196.04, 295.11 and 176.19

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Solution

The fourth proportional to 196.04, 295.11 and 176.19 is: 265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.04 : 295.11 = 176.19 : x
  2. Step 2: Convert to fraction form
    196.04/295.11 = 176.19/x
  3. Step 3: Cross multiply
    196.04x = 295.11 × 176.19
  4. Step 4: Simplify right side
    196.04x = 51,995.43
  5. Step 5: Solve for x
    x = 51,995.43/196.04
  6. Step 6: Final answer
    x = 265.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.