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Finding the Fourth Proportional to 211.51, 317.07 and 108.57

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Solution

The fourth proportional to 211.51, 317.07 and 108.57 is: 162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.51 : 317.07 = 108.57 : x
  2. Step 2: Convert to fraction form
    211.51/317.07 = 108.57/x
  3. Step 3: Cross multiply
    211.51x = 317.07 × 108.57
  4. Step 4: Simplify right side
    211.51x = 34,422.16
  5. Step 5: Solve for x
    x = 34,422.16/211.51
  6. Step 6: Final answer
    x = 162.75

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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.