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Finding the Fourth Proportional to 187.98, 280.76 and 144.64

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Solution

The fourth proportional to 187.98, 280.76 and 144.64 is: 216.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.98 : 280.76 = 144.64 : x
  2. Step 2: Convert to fraction form
    187.98/280.76 = 144.64/x
  3. Step 3: Cross multiply
    187.98x = 280.76 × 144.64
  4. Step 4: Simplify right side
    187.98x = 40,609.13
  5. Step 5: Solve for x
    x = 40,609.13/187.98
  6. Step 6: Final answer
    x = 216.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.