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Finding the Fourth Proportional to 195.91, 294.92 and 176.06

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Solution

The fourth proportional to 195.91, 294.92 and 176.06 is: 265.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.91 : 294.92 = 176.06 : x
  2. Step 2: Convert to fraction form
    195.91/294.92 = 176.06/x
  3. Step 3: Cross multiply
    195.91x = 294.92 × 176.06
  4. Step 4: Simplify right side
    195.91x = 51,924.79
  5. Step 5: Solve for x
    x = 51,924.79/195.91
  6. Step 6: Final answer
    x = 265.05

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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.