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Finding the Fourth Proportional to 187.85, 259.50 and 155.09

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Solution

The fourth proportional to 187.85, 259.50 and 155.09 is: 214.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.85 : 259.50 = 155.09 : x
  2. Step 2: Convert to fraction form
    187.85/259.50 = 155.09/x
  3. Step 3: Cross multiply
    187.85x = 259.50 × 155.09
  4. Step 4: Simplify right side
    187.85x = 40,244.56
  5. Step 5: Solve for x
    x = 40,244.56/187.85
  6. Step 6: Final answer
    x = 214.24

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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.