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Finding the Fourth Proportional to 155.89, 214.41 and 137.41

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Solution

The fourth proportional to 155.89, 214.41 and 137.41 is: 188.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.89 : 214.41 = 137.41 : x
  2. Step 2: Convert to fraction form
    155.89/214.41 = 137.41/x
  3. Step 3: Cross multiply
    155.89x = 214.41 × 137.41
  4. Step 4: Simplify right side
    155.89x = 29,462.08
  5. Step 5: Solve for x
    x = 29,462.08/155.89
  6. Step 6: Final answer
    x = 188.99

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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.