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Finding the Fourth Proportional to 293.46, 405.10 and 177

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Solution

The fourth proportional to 293.46, 405.10 and 177 is: 244.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.46 : 405.10 = 177 : x
  2. Step 2: Convert to fraction form
    293.46/405.10 = 177/x
  3. Step 3: Cross multiply
    293.46x = 405.10 × 177
  4. Step 4: Simplify right side
    293.46x = 71,702.70
  5. Step 5: Solve for x
    x = 71,702.70/293.46
  6. Step 6: Final answer
    x = 244.34

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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.