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Finding the Fourth Proportional to 197.17, 294.19 and 176.65

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Solution

The fourth proportional to 197.17, 294.19 and 176.65 is: 263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.17 : 294.19 = 176.65 : x
  2. Step 2: Convert to fraction form
    197.17/294.19 = 176.65/x
  3. Step 3: Cross multiply
    197.17x = 294.19 × 176.65
  4. Step 4: Simplify right side
    197.17x = 51,967.49
  5. Step 5: Solve for x
    x = 51,967.49/197.17
  6. Step 6: Final answer
    x = 263.57

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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.