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Finding the Fourth Proportional to 429.14, 643.78 and 136.55

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Solution

The fourth proportional to 429.14, 643.78 and 136.55 is: 204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.14 : 643.78 = 136.55 : x
  2. Step 2: Convert to fraction form
    429.14/643.78 = 136.55/x
  3. Step 3: Cross multiply
    429.14x = 643.78 × 136.55
  4. Step 4: Simplify right side
    429.14x = 87,907.22
  5. Step 5: Solve for x
    x = 87,907.22/429.14
  6. Step 6: Final answer
    x = 204.84

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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.