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Finding the Fourth Proportional to 277.07, 382.27 and 177.59

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Solution

The fourth proportional to 277.07, 382.27 and 177.59 is: 245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.07 : 382.27 = 177.59 : x
  2. Step 2: Convert to fraction form
    277.07/382.27 = 177.59/x
  3. Step 3: Cross multiply
    277.07x = 382.27 × 177.59
  4. Step 4: Simplify right side
    277.07x = 67,888.17
  5. Step 5: Solve for x
    x = 67,888.17/277.07
  6. Step 6: Final answer
    x = 245.02

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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.