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Finding the Fourth Proportional to 185.40, 277.63 and 103.86

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Solution

The fourth proportional to 185.40, 277.63 and 103.86 is: 155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.40 : 277.63 = 103.86 : x
  2. Step 2: Convert to fraction form
    185.40/277.63 = 103.86/x
  3. Step 3: Cross multiply
    185.40x = 277.63 × 103.86
  4. Step 4: Simplify right side
    185.40x = 28,834.39
  5. Step 5: Solve for x
    x = 28,834.39/185.40
  6. Step 6: Final answer
    x = 155.53

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