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Finding the Fourth Proportional to 429.98, 645.01 and 186.53

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Solution

The fourth proportional to 429.98, 645.01 and 186.53 is: 279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.98 : 645.01 = 186.53 : x
  2. Step 2: Convert to fraction form
    429.98/645.01 = 186.53/x
  3. Step 3: Cross multiply
    429.98x = 645.01 × 186.53
  4. Step 4: Simplify right side
    429.98x = 120,310.02
  5. Step 5: Solve for x
    x = 120,310.02/429.98
  6. Step 6: Final answer
    x = 279.81

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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.