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Finding the Fourth Proportional to 185.41, 277.93 and 116.92

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Solution

The fourth proportional to 185.41, 277.93 and 116.92 is: 175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.41 : 277.93 = 116.92 : x
  2. Step 2: Convert to fraction form
    185.41/277.93 = 116.92/x
  3. Step 3: Cross multiply
    185.41x = 277.93 × 116.92
  4. Step 4: Simplify right side
    185.41x = 32,495.58
  5. Step 5: Solve for x
    x = 32,495.58/185.41
  6. Step 6: Final answer
    x = 175.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.