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Finding the Fourth Proportional to 277.56, 414.87 and 250.08

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Solution

The fourth proportional to 277.56, 414.87 and 250.08 is: 373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.56 : 414.87 = 250.08 : x
  2. Step 2: Convert to fraction form
    277.56/414.87 = 250.08/x
  3. Step 3: Cross multiply
    277.56x = 414.87 × 250.08
  4. Step 4: Simplify right side
    277.56x = 103,750.69
  5. Step 5: Solve for x
    x = 103,750.69/277.56
  6. Step 6: Final answer
    x = 373.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.