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Finding the Fourth Proportional to 277.50, 382.95 and 161.07

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Solution

The fourth proportional to 277.50, 382.95 and 161.07 is: 222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.50 : 382.95 = 161.07 : x
  2. Step 2: Convert to fraction form
    277.50/382.95 = 161.07/x
  3. Step 3: Cross multiply
    277.50x = 382.95 × 161.07
  4. Step 4: Simplify right side
    277.50x = 61,681.76
  5. Step 5: Solve for x
    x = 61,681.76/277.50
  6. Step 6: Final answer
    x = 222.28

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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.