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Finding the Fourth Proportional to 199.93, 298.44 and 175.63

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Solution

The fourth proportional to 199.93, 298.44 and 175.63 is: 262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.93 : 298.44 = 175.63 : x
  2. Step 2: Convert to fraction form
    199.93/298.44 = 175.63/x
  3. Step 3: Cross multiply
    199.93x = 298.44 × 175.63
  4. Step 4: Simplify right side
    199.93x = 52,412.65
  5. Step 5: Solve for x
    x = 52,412.65/199.93
  6. Step 6: Final answer
    x = 262.16

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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.