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Finding the Fourth Proportional to 187.56, 259.14 and 143.46

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Solution

The fourth proportional to 187.56, 259.14 and 143.46 is: 198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.56 : 259.14 = 143.46 : x
  2. Step 2: Convert to fraction form
    187.56/259.14 = 143.46/x
  3. Step 3: Cross multiply
    187.56x = 259.14 × 143.46
  4. Step 4: Simplify right side
    187.56x = 37,176.22
  5. Step 5: Solve for x
    x = 37,176.22/187.56
  6. Step 6: Final answer
    x = 198.21

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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.