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Finding the Fourth Proportional to 277.50, 415.62 and 155.76

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Solution

The fourth proportional to 277.50, 415.62 and 155.76 is: 233.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.50 : 415.62 = 155.76 : x
  2. Step 2: Convert to fraction form
    277.50/415.62 = 155.76/x
  3. Step 3: Cross multiply
    277.50x = 415.62 × 155.76
  4. Step 4: Simplify right side
    277.50x = 64,736.97
  5. Step 5: Solve for x
    x = 64,736.97/277.50
  6. Step 6: Final answer
    x = 233.29

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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.