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Finding the Fourth Proportional to 277.44, 382.80 and 153.08

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Solution

The fourth proportional to 277.44, 382.80 and 153.08 is: 211.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.44 : 382.80 = 153.08 : x
  2. Step 2: Convert to fraction form
    277.44/382.80 = 153.08/x
  3. Step 3: Cross multiply
    277.44x = 382.80 × 153.08
  4. Step 4: Simplify right side
    277.44x = 58,599.02
  5. Step 5: Solve for x
    x = 58,599.02/277.44
  6. Step 6: Final answer
    x = 211.21

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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.