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Finding the Fourth Proportional to 277.02, 382.37 and 166.50

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Solution

The fourth proportional to 277.02, 382.37 and 166.50 is: 229.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.02 : 382.37 = 166.50 : x
  2. Step 2: Convert to fraction form
    277.02/382.37 = 166.50/x
  3. Step 3: Cross multiply
    277.02x = 382.37 × 166.50
  4. Step 4: Simplify right side
    277.02x = 63,663.77
  5. Step 5: Solve for x
    x = 63,663.77/277.02
  6. Step 6: Final answer
    x = 229.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.