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Finding the Fourth Proportional to 187.34, 280.49 and 141.36

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Solution

The fourth proportional to 187.34, 280.49 and 141.36 is: 211.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.34 : 280.49 = 141.36 : x
  2. Step 2: Convert to fraction form
    187.34/280.49 = 141.36/x
  3. Step 3: Cross multiply
    187.34x = 280.49 × 141.36
  4. Step 4: Simplify right side
    187.34x = 39,649.36
  5. Step 5: Solve for x
    x = 39,649.36/187.34
  6. Step 6: Final answer
    x = 211.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.