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Finding the Fourth Proportional to 277.56, 382.62 and 219.24

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Solution

The fourth proportional to 277.56, 382.62 and 219.24 is: 302.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.56 : 382.62 = 219.24 : x
  2. Step 2: Convert to fraction form
    277.56/382.62 = 219.24/x
  3. Step 3: Cross multiply
    277.56x = 382.62 × 219.24
  4. Step 4: Simplify right side
    277.56x = 83,885.61
  5. Step 5: Solve for x
    x = 83,885.61/277.56
  6. Step 6: Final answer
    x = 302.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.