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Finding the Fourth Proportional to 277.24, 415.58 and 208.28

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Solution

The fourth proportional to 277.24, 415.58 and 208.28 is: 312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.24 : 415.58 = 208.28 : x
  2. Step 2: Convert to fraction form
    277.24/415.58 = 208.28/x
  3. Step 3: Cross multiply
    277.24x = 415.58 × 208.28
  4. Step 4: Simplify right side
    277.24x = 86,557.00
  5. Step 5: Solve for x
    x = 86,557.00/277.24
  6. Step 6: Final answer
    x = 312.21

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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.