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Finding the Fourth Proportional to 277.60, 383.11 and 159.58

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Solution

The fourth proportional to 277.60, 383.11 and 159.58 is: 220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.60 : 383.11 = 159.58 : x
  2. Step 2: Convert to fraction form
    277.60/383.11 = 159.58/x
  3. Step 3: Cross multiply
    277.60x = 383.11 × 159.58
  4. Step 4: Simplify right side
    277.60x = 61,137.62
  5. Step 5: Solve for x
    x = 61,137.62/277.60
  6. Step 6: Final answer
    x = 220.23

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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.