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Finding the Fourth Proportional to 211.71, 292.15 and 118.45

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Solution

The fourth proportional to 211.71, 292.15 and 118.45 is: 163.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.71 : 292.15 = 118.45 : x
  2. Step 2: Convert to fraction form
    211.71/292.15 = 118.45/x
  3. Step 3: Cross multiply
    211.71x = 292.15 × 118.45
  4. Step 4: Simplify right side
    211.71x = 34,605.17
  5. Step 5: Solve for x
    x = 34,605.17/211.71
  6. Step 6: Final answer
    x = 163.46

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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.