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Finding the Fourth Proportional to 185.36, 277.44 and 144.40

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Solution

The fourth proportional to 185.36, 277.44 and 144.40 is: 216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.36 : 277.44 = 144.40 : x
  2. Step 2: Convert to fraction form
    185.36/277.44 = 144.40/x
  3. Step 3: Cross multiply
    185.36x = 277.44 × 144.40
  4. Step 4: Simplify right side
    185.36x = 40,062.34
  5. Step 5: Solve for x
    x = 40,062.34/185.36
  6. Step 6: Final answer
    x = 216.13

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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.