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Finding the Fourth Proportional to 195.67, 294.18 and 182.98

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Solution

The fourth proportional to 195.67, 294.18 and 182.98 is: 275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.67 : 294.18 = 182.98 : x
  2. Step 2: Convert to fraction form
    195.67/294.18 = 182.98/x
  3. Step 3: Cross multiply
    195.67x = 294.18 × 182.98
  4. Step 4: Simplify right side
    195.67x = 53,829.06
  5. Step 5: Solve for x
    x = 53,829.06/195.67
  6. Step 6: Final answer
    x = 275.10

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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.