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Finding the Fourth Proportional to 211.61, 292.19 and 174.99

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Solution

The fourth proportional to 211.61, 292.19 and 174.99 is: 241.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.61 : 292.19 = 174.99 : x
  2. Step 2: Convert to fraction form
    211.61/292.19 = 174.99/x
  3. Step 3: Cross multiply
    211.61x = 292.19 × 174.99
  4. Step 4: Simplify right side
    211.61x = 51,130.33
  5. Step 5: Solve for x
    x = 51,130.33/211.61
  6. Step 6: Final answer
    x = 241.63

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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.