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Finding the Fourth Proportional to 277.48, 382.87 and 167.01

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Solution

The fourth proportional to 277.48, 382.87 and 167.01 is: 230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.48 : 382.87 = 167.01 : x
  2. Step 2: Convert to fraction form
    277.48/382.87 = 167.01/x
  3. Step 3: Cross multiply
    277.48x = 382.87 × 167.01
  4. Step 4: Simplify right side
    277.48x = 63,943.12
  5. Step 5: Solve for x
    x = 63,943.12/277.48
  6. Step 6: Final answer
    x = 230.44

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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.