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Finding the Fourth Proportional to 157.18, 234.67 and 141.82

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Solution

The fourth proportional to 157.18, 234.67 and 141.82 is: 211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.18 : 234.67 = 141.82 : x
  2. Step 2: Convert to fraction form
    157.18/234.67 = 141.82/x
  3. Step 3: Cross multiply
    157.18x = 234.67 × 141.82
  4. Step 4: Simplify right side
    157.18x = 33,280.90
  5. Step 5: Solve for x
    x = 33,280.90/157.18
  6. Step 6: Final answer
    x = 211.74

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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.