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Finding the Fourth Proportional to 300.40, 450.60 and 117.80

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Solution

The fourth proportional to 300.40, 450.60 and 117.80 is: 176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.40 : 450.60 = 117.80 : x
  2. Step 2: Convert to fraction form
    300.40/450.60 = 117.80/x
  3. Step 3: Cross multiply
    300.40x = 450.60 × 117.80
  4. Step 4: Simplify right side
    300.40x = 53,080.68
  5. Step 5: Solve for x
    x = 53,080.68/300.40
  6. Step 6: Final answer
    x = 176.70

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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.