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Finding the Fourth Proportional to 293.46, 404.88 and 175.41

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Solution

The fourth proportional to 293.46, 404.88 and 175.41 is: 242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.46 : 404.88 = 175.41 : x
  2. Step 2: Convert to fraction form
    293.46/404.88 = 175.41/x
  3. Step 3: Cross multiply
    293.46x = 404.88 × 175.41
  4. Step 4: Simplify right side
    293.46x = 71,020.00
  5. Step 5: Solve for x
    x = 71,020.00/293.46
  6. Step 6: Final answer
    x = 242.01

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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.