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Finding the Fourth Proportional to 188.25, 259.83 and 130.11

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Solution

The fourth proportional to 188.25, 259.83 and 130.11 is: 179.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.25 : 259.83 = 130.11 : x
  2. Step 2: Convert to fraction form
    188.25/259.83 = 130.11/x
  3. Step 3: Cross multiply
    188.25x = 259.83 × 130.11
  4. Step 4: Simplify right side
    188.25x = 33,806.48
  5. Step 5: Solve for x
    x = 33,806.48/188.25
  6. Step 6: Final answer
    x = 179.58

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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.