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Finding the Fourth Proportional to 277.50, 382.96 and 153.17

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Solution

The fourth proportional to 277.50, 382.96 and 153.17 is: 211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.50 : 382.96 = 153.17 : x
  2. Step 2: Convert to fraction form
    277.50/382.96 = 153.17/x
  3. Step 3: Cross multiply
    277.50x = 382.96 × 153.17
  4. Step 4: Simplify right side
    277.50x = 58,657.98
  5. Step 5: Solve for x
    x = 58,657.98/277.50
  6. Step 6: Final answer
    x = 211.38

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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.