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Finding the Fourth Proportional to 277.16, 382.58 and 179.02

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Solution

The fourth proportional to 277.16, 382.58 and 179.02 is: 247.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.16 : 382.58 = 179.02 : x
  2. Step 2: Convert to fraction form
    277.16/382.58 = 179.02/x
  3. Step 3: Cross multiply
    277.16x = 382.58 × 179.02
  4. Step 4: Simplify right side
    277.16x = 68,489.47
  5. Step 5: Solve for x
    x = 68,489.47/277.16
  6. Step 6: Final answer
    x = 247.11

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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.