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Finding the Fourth Proportional to 210.76, 316.37 and 137.72

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Solution

The fourth proportional to 210.76, 316.37 and 137.72 is: 206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.76 : 316.37 = 137.72 : x
  2. Step 2: Convert to fraction form
    210.76/316.37 = 137.72/x
  3. Step 3: Cross multiply
    210.76x = 316.37 × 137.72
  4. Step 4: Simplify right side
    210.76x = 43,571.61
  5. Step 5: Solve for x
    x = 43,571.61/210.76
  6. Step 6: Final answer
    x = 206.74

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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.