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Finding the Fourth Proportional to 211.68, 292.37 and 176.63

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Solution

The fourth proportional to 211.68, 292.37 and 176.63 is: 243.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.68 : 292.37 = 176.63 : x
  2. Step 2: Convert to fraction form
    211.68/292.37 = 176.63/x
  3. Step 3: Cross multiply
    211.68x = 292.37 × 176.63
  4. Step 4: Simplify right side
    211.68x = 51,638.97
  5. Step 5: Solve for x
    x = 51,638.97/211.68
  6. Step 6: Final answer
    x = 243.95

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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.