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Finding the Fourth Proportional to 197.77, 296.82 and 175

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Solution

The fourth proportional to 197.77, 296.82 and 175 is: 262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.77 : 296.82 = 175 : x
  2. Step 2: Convert to fraction form
    197.77/296.82 = 175/x
  3. Step 3: Cross multiply
    197.77x = 296.82 × 175
  4. Step 4: Simplify right side
    197.77x = 51,943.50
  5. Step 5: Solve for x
    x = 51,943.50/197.77
  6. Step 6: Final answer
    x = 262.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.