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Finding the Fourth Proportional to 211.95, 292.05 and 175.23

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Solution

The fourth proportional to 211.95, 292.05 and 175.23 is: 241.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.95 : 292.05 = 175.23 : x
  2. Step 2: Convert to fraction form
    211.95/292.05 = 175.23/x
  3. Step 3: Cross multiply
    211.95x = 292.05 × 175.23
  4. Step 4: Simplify right side
    211.95x = 51,175.92
  5. Step 5: Solve for x
    x = 51,175.92/211.95
  6. Step 6: Final answer
    x = 241.45

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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.