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Finding the Fourth Proportional to 277.02, 415.63 and 161.44

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Solution

The fourth proportional to 277.02, 415.63 and 161.44 is: 242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.02 : 415.63 = 161.44 : x
  2. Step 2: Convert to fraction form
    277.02/415.63 = 161.44/x
  3. Step 3: Cross multiply
    277.02x = 415.63 × 161.44
  4. Step 4: Simplify right side
    277.02x = 67,100.81
  5. Step 5: Solve for x
    x = 67,100.81/277.02
  6. Step 6: Final answer
    x = 242.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.