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Finding the Fourth Proportional to 185.82, 277.32 and 173.64

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Solution

The fourth proportional to 185.82, 277.32 and 173.64 is: 259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.82 : 277.32 = 173.64 : x
  2. Step 2: Convert to fraction form
    185.82/277.32 = 173.64/x
  3. Step 3: Cross multiply
    185.82x = 277.32 × 173.64
  4. Step 4: Simplify right side
    185.82x = 48,153.84
  5. Step 5: Solve for x
    x = 48,153.84/185.82
  6. Step 6: Final answer
    x = 259.14

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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.