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Finding the Fourth Proportional to 277.04, 382.28 and 158.96

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Solution

The fourth proportional to 277.04, 382.28 and 158.96 is: 219.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.04 : 382.28 = 158.96 : x
  2. Step 2: Convert to fraction form
    277.04/382.28 = 158.96/x
  3. Step 3: Cross multiply
    277.04x = 382.28 × 158.96
  4. Step 4: Simplify right side
    277.04x = 60,767.23
  5. Step 5: Solve for x
    x = 60,767.23/277.04
  6. Step 6: Final answer
    x = 219.34

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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.