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Finding the Fourth Proportional to 429.95, 645.08 and 186.41

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Solution

The fourth proportional to 429.95, 645.08 and 186.41 is: 279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.95 : 645.08 = 186.41 : x
  2. Step 2: Convert to fraction form
    429.95/645.08 = 186.41/x
  3. Step 3: Cross multiply
    429.95x = 645.08 × 186.41
  4. Step 4: Simplify right side
    429.95x = 120,245.21
  5. Step 5: Solve for x
    x = 120,245.21/429.95
  6. Step 6: Final answer
    x = 279.68

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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.