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Finding the Fourth Proportional to 300.46, 450.51 and 117.70

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Solution

The fourth proportional to 300.46, 450.51 and 117.70 is: 176.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.46 : 450.51 = 117.70 : x
  2. Step 2: Convert to fraction form
    300.46/450.51 = 117.70/x
  3. Step 3: Cross multiply
    300.46x = 450.51 × 117.70
  4. Step 4: Simplify right side
    300.46x = 53,026.66
  5. Step 5: Solve for x
    x = 53,026.66/300.46
  6. Step 6: Final answer
    x = 176.49

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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.