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Finding the Fourth Proportional to 277.40, 382.82 and 153.06

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Solution

The fourth proportional to 277.40, 382.82 and 153.06 is: 211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.40 : 382.82 = 153.06 : x
  2. Step 2: Convert to fraction form
    277.40/382.82 = 153.06/x
  3. Step 3: Cross multiply
    277.40x = 382.82 × 153.06
  4. Step 4: Simplify right side
    277.40x = 58,594.43
  5. Step 5: Solve for x
    x = 58,594.43/277.40
  6. Step 6: Final answer
    x = 211.23

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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.