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Finding the Fourth Proportional to 199.86, 275.97 and 134.65

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Solution

The fourth proportional to 199.86, 275.97 and 134.65 is: 185.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.86 : 275.97 = 134.65 : x
  2. Step 2: Convert to fraction form
    199.86/275.97 = 134.65/x
  3. Step 3: Cross multiply
    199.86x = 275.97 × 134.65
  4. Step 4: Simplify right side
    199.86x = 37,159.36
  5. Step 5: Solve for x
    x = 37,159.36/199.86
  6. Step 6: Final answer
    x = 185.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.