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Finding the Fourth Proportional to 277.09, 415.83 and 140.02

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Solution

The fourth proportional to 277.09, 415.83 and 140.02 is: 210.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.09 : 415.83 = 140.02 : x
  2. Step 2: Convert to fraction form
    277.09/415.83 = 140.02/x
  3. Step 3: Cross multiply
    277.09x = 415.83 × 140.02
  4. Step 4: Simplify right side
    277.09x = 58,224.52
  5. Step 5: Solve for x
    x = 58,224.52/277.09
  6. Step 6: Final answer
    x = 210.13

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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.