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Finding the Fourth Proportional to 277.74, 382.86 and 184.32

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Solution

The fourth proportional to 277.74, 382.86 and 184.32 is: 254.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.74 : 382.86 = 184.32 : x
  2. Step 2: Convert to fraction form
    277.74/382.86 = 184.32/x
  3. Step 3: Cross multiply
    277.74x = 382.86 × 184.32
  4. Step 4: Simplify right side
    277.74x = 70,568.76
  5. Step 5: Solve for x
    x = 70,568.76/277.74
  6. Step 6: Final answer
    x = 254.08

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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.