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Finding the Fourth Proportional to 277.28, 415.62 and 155.48

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Solution

The fourth proportional to 277.28, 415.62 and 155.48 is: 233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.28 : 415.62 = 155.48 : x
  2. Step 2: Convert to fraction form
    277.28/415.62 = 155.48/x
  3. Step 3: Cross multiply
    277.28x = 415.62 × 155.48
  4. Step 4: Simplify right side
    277.28x = 64,620.60
  5. Step 5: Solve for x
    x = 64,620.60/277.28
  6. Step 6: Final answer
    x = 233.05

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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.