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Finding the Fourth Proportional to 188.90, 283.62 and 165.14

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Solution

The fourth proportional to 188.90, 283.62 and 165.14 is: 247.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.90 : 283.62 = 165.14 : x
  2. Step 2: Convert to fraction form
    188.90/283.62 = 165.14/x
  3. Step 3: Cross multiply
    188.90x = 283.62 × 165.14
  4. Step 4: Simplify right side
    188.90x = 46,837.01
  5. Step 5: Solve for x
    x = 46,837.01/188.90
  6. Step 6: Final answer
    x = 247.95

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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.