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Finding the Fourth Proportional to 277.58, 382.93 and 167.00

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Solution

The fourth proportional to 277.58, 382.93 and 167.00 is: 230.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.58 : 382.93 = 167.00 : x
  2. Step 2: Convert to fraction form
    277.58/382.93 = 167.00/x
  3. Step 3: Cross multiply
    277.58x = 382.93 × 167.00
  4. Step 4: Simplify right side
    277.58x = 63,946.98
  5. Step 5: Solve for x
    x = 63,946.98/277.58
  6. Step 6: Final answer
    x = 230.37

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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.