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Finding the Fourth Proportional to 187.52, 259.20 and 143.84

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Solution

The fourth proportional to 187.52, 259.20 and 143.84 is: 198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.52 : 259.20 = 143.84 : x
  2. Step 2: Convert to fraction form
    187.52/259.20 = 143.84/x
  3. Step 3: Cross multiply
    187.52x = 259.20 × 143.84
  4. Step 4: Simplify right side
    187.52x = 37,283.33
  5. Step 5: Solve for x
    x = 37,283.33/187.52
  6. Step 6: Final answer
    x = 198.82

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