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Finding the Fourth Proportional to 211.89, 291.78 and 207.10

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Solution

The fourth proportional to 211.89, 291.78 and 207.10 is: 285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.89 : 291.78 = 207.10 : x
  2. Step 2: Convert to fraction form
    211.89/291.78 = 207.10/x
  3. Step 3: Cross multiply
    211.89x = 291.78 × 207.10
  4. Step 4: Simplify right side
    211.89x = 60,427.64
  5. Step 5: Solve for x
    x = 60,427.64/211.89
  6. Step 6: Final answer
    x = 285.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.