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Finding the Fourth Proportional to 300.10, 414.23 and 175.82

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Solution

The fourth proportional to 300.10, 414.23 and 175.82 is: 242.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.10 : 414.23 = 175.82 : x
  2. Step 2: Convert to fraction form
    300.10/414.23 = 175.82/x
  3. Step 3: Cross multiply
    300.10x = 414.23 × 175.82
  4. Step 4: Simplify right side
    300.10x = 72,829.92
  5. Step 5: Solve for x
    x = 72,829.92/300.10
  6. Step 6: Final answer
    x = 242.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.