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Finding the Fourth Proportional to 277.63, 416.14 and 186.81

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Solution

The fourth proportional to 277.63, 416.14 and 186.81 is: 280.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.63 : 416.14 = 186.81 : x
  2. Step 2: Convert to fraction form
    277.63/416.14 = 186.81/x
  3. Step 3: Cross multiply
    277.63x = 416.14 × 186.81
  4. Step 4: Simplify right side
    277.63x = 77,737.09
  5. Step 5: Solve for x
    x = 77,737.09/277.63
  6. Step 6: Final answer
    x = 280.00

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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.