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Finding the Fourth Proportional to 211.61, 317.07 and 114.12

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Solution

The fourth proportional to 211.61, 317.07 and 114.12 is: 170.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.61 : 317.07 = 114.12 : x
  2. Step 2: Convert to fraction form
    211.61/317.07 = 114.12/x
  3. Step 3: Cross multiply
    211.61x = 317.07 × 114.12
  4. Step 4: Simplify right side
    211.61x = 36,184.03
  5. Step 5: Solve for x
    x = 36,184.03/211.61
  6. Step 6: Final answer
    x = 170.99

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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.