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Finding the Fourth Proportional to 277.67, 383.10 and 159.63

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Solution

The fourth proportional to 277.67, 383.10 and 159.63 is: 220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.67 : 383.10 = 159.63 : x
  2. Step 2: Convert to fraction form
    277.67/383.10 = 159.63/x
  3. Step 3: Cross multiply
    277.67x = 383.10 × 159.63
  4. Step 4: Simplify right side
    277.67x = 61,154.25
  5. Step 5: Solve for x
    x = 61,154.25/277.67
  6. Step 6: Final answer
    x = 220.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.