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Finding the Fourth Proportional to 190.16, 263.53 and 186.52

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Solution

The fourth proportional to 190.16, 263.53 and 186.52 is: 258.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.16 : 263.53 = 186.52 : x
  2. Step 2: Convert to fraction form
    190.16/263.53 = 186.52/x
  3. Step 3: Cross multiply
    190.16x = 263.53 × 186.52
  4. Step 4: Simplify right side
    190.16x = 49,152.49
  5. Step 5: Solve for x
    x = 49,152.49/190.16
  6. Step 6: Final answer
    x = 258.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.