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Finding the Fourth Proportional to 143.93, 214.85 and 131.76

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Solution

The fourth proportional to 143.93, 214.85 and 131.76 is: 196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.93 : 214.85 = 131.76 : x
  2. Step 2: Convert to fraction form
    143.93/214.85 = 131.76/x
  3. Step 3: Cross multiply
    143.93x = 214.85 × 131.76
  4. Step 4: Simplify right side
    143.93x = 28,307.44
  5. Step 5: Solve for x
    x = 28,307.44/143.93
  6. Step 6: Final answer
    x = 196.67

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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.