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Finding the Fourth Proportional to 211.11, 314.29 and 210.09

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Solution

The fourth proportional to 211.11, 314.29 and 210.09 is: 312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.11 : 314.29 = 210.09 : x
  2. Step 2: Convert to fraction form
    211.11/314.29 = 210.09/x
  3. Step 3: Cross multiply
    211.11x = 314.29 × 210.09
  4. Step 4: Simplify right side
    211.11x = 66,030.63
  5. Step 5: Solve for x
    x = 66,030.63/211.11
  6. Step 6: Final answer
    x = 312.78

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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.