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Finding the Fourth Proportional to 429.98, 645.00 and 137.48

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Solution

The fourth proportional to 429.98, 645.00 and 137.48 is: 206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.98 : 645.00 = 137.48 : x
  2. Step 2: Convert to fraction form
    429.98/645.00 = 137.48/x
  3. Step 3: Cross multiply
    429.98x = 645.00 × 137.48
  4. Step 4: Simplify right side
    429.98x = 88,674.49
  5. Step 5: Solve for x
    x = 88,674.49/429.98
  6. Step 6: Final answer
    x = 206.23

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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.