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Finding the Fourth Proportional to 300.10, 449.65 and 117.39

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Solution

The fourth proportional to 300.10, 449.65 and 117.39 is: 175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.10 : 449.65 = 117.39 : x
  2. Step 2: Convert to fraction form
    300.10/449.65 = 117.39/x
  3. Step 3: Cross multiply
    300.10x = 449.65 × 117.39
  4. Step 4: Simplify right side
    300.10x = 52,784.41
  5. Step 5: Solve for x
    x = 52,784.41/300.10
  6. Step 6: Final answer
    x = 175.89

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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.