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Finding the Fourth Proportional to 172.19, 257.11 and 141.82

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Solution

The fourth proportional to 172.19, 257.11 and 141.82 is: 211.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.19 : 257.11 = 141.82 : x
  2. Step 2: Convert to fraction form
    172.19/257.11 = 141.82/x
  3. Step 3: Cross multiply
    172.19x = 257.11 × 141.82
  4. Step 4: Simplify right side
    172.19x = 36,462.34
  5. Step 5: Solve for x
    x = 36,462.34/172.19
  6. Step 6: Final answer
    x = 211.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.