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Finding the Fourth Proportional to 277.95, 383.47 and 179.76

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Solution

The fourth proportional to 277.95, 383.47 and 179.76 is: 248.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.95 : 383.47 = 179.76 : x
  2. Step 2: Convert to fraction form
    277.95/383.47 = 179.76/x
  3. Step 3: Cross multiply
    277.95x = 383.47 × 179.76
  4. Step 4: Simplify right side
    277.95x = 68,932.57
  5. Step 5: Solve for x
    x = 68,932.57/277.95
  6. Step 6: Final answer
    x = 248.01

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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.