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Finding the Fourth Proportional to 211.67, 314.97 and 210.95

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Solution

The fourth proportional to 211.67, 314.97 and 210.95 is: 313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.67 : 314.97 = 210.95 : x
  2. Step 2: Convert to fraction form
    211.67/314.97 = 210.95/x
  3. Step 3: Cross multiply
    211.67x = 314.97 × 210.95
  4. Step 4: Simplify right side
    211.67x = 66,443.45
  5. Step 5: Solve for x
    x = 66,443.45/211.67
  6. Step 6: Final answer
    x = 313.90

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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.