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Finding the Fourth Proportional to 277.02, 382.16 and 166.43

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Solution

The fourth proportional to 277.02, 382.16 and 166.43 is: 229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.02 : 382.16 = 166.43 : x
  2. Step 2: Convert to fraction form
    277.02/382.16 = 166.43/x
  3. Step 3: Cross multiply
    277.02x = 382.16 × 166.43
  4. Step 4: Simplify right side
    277.02x = 63,602.89
  5. Step 5: Solve for x
    x = 63,602.89/277.02
  6. Step 6: Final answer
    x = 229.60

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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.