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Finding the Fourth Proportional to 211.76, 316.88 and 143.36

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Solution

The fourth proportional to 211.76, 316.88 and 143.36 is: 214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.76 : 316.88 = 143.36 : x
  2. Step 2: Convert to fraction form
    211.76/316.88 = 143.36/x
  3. Step 3: Cross multiply
    211.76x = 316.88 × 143.36
  4. Step 4: Simplify right side
    211.76x = 45,427.92
  5. Step 5: Solve for x
    x = 45,427.92/211.76
  6. Step 6: Final answer
    x = 214.53

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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.