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Finding the Fourth Proportional to 204.76, 307.77 and 178.03

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Solution

The fourth proportional to 204.76, 307.77 and 178.03 is: 267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.76 : 307.77 = 178.03 : x
  2. Step 2: Convert to fraction form
    204.76/307.77 = 178.03/x
  3. Step 3: Cross multiply
    204.76x = 307.77 × 178.03
  4. Step 4: Simplify right side
    204.76x = 54,792.29
  5. Step 5: Solve for x
    x = 54,792.29/204.76
  6. Step 6: Final answer
    x = 267.59

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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.