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Finding the Fourth Proportional to 188.21, 259.80 and 135.83

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Solution

The fourth proportional to 188.21, 259.80 and 135.83 is: 187.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.21 : 259.80 = 135.83 : x
  2. Step 2: Convert to fraction form
    188.21/259.80 = 135.83/x
  3. Step 3: Cross multiply
    188.21x = 259.80 × 135.83
  4. Step 4: Simplify right side
    188.21x = 35,288.63
  5. Step 5: Solve for x
    x = 35,288.63/188.21
  6. Step 6: Final answer
    x = 187.50

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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.