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Finding the Fourth Proportional to 277.69, 383.17 and 159.61

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Solution

The fourth proportional to 277.69, 383.17 and 159.61 is: 220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.69 : 383.17 = 159.61 : x
  2. Step 2: Convert to fraction form
    277.69/383.17 = 159.61/x
  3. Step 3: Cross multiply
    277.69x = 383.17 × 159.61
  4. Step 4: Simplify right side
    277.69x = 61,157.76
  5. Step 5: Solve for x
    x = 61,157.76/277.69
  6. Step 6: Final answer
    x = 220.24

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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.