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Finding the Fourth Proportional to 277.64, 382.72 and 219.32

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Solution

The fourth proportional to 277.64, 382.72 and 219.32 is: 302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.64 : 382.72 = 219.32 : x
  2. Step 2: Convert to fraction form
    277.64/382.72 = 219.32/x
  3. Step 3: Cross multiply
    277.64x = 382.72 × 219.32
  4. Step 4: Simplify right side
    277.64x = 83,938.15
  5. Step 5: Solve for x
    x = 83,938.15/277.64
  6. Step 6: Final answer
    x = 302.33

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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.