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Finding the Fourth Proportional to 211.76, 292.13 and 162.55

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Solution

The fourth proportional to 211.76, 292.13 and 162.55 is: 224.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.76 : 292.13 = 162.55 : x
  2. Step 2: Convert to fraction form
    211.76/292.13 = 162.55/x
  3. Step 3: Cross multiply
    211.76x = 292.13 × 162.55
  4. Step 4: Simplify right side
    211.76x = 47,485.73
  5. Step 5: Solve for x
    x = 47,485.73/211.76
  6. Step 6: Final answer
    x = 224.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.