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Finding the Fourth Proportional to 293.74, 405.22 and 175.64

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Solution

The fourth proportional to 293.74, 405.22 and 175.64 is: 242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.74 : 405.22 = 175.64 : x
  2. Step 2: Convert to fraction form
    293.74/405.22 = 175.64/x
  3. Step 3: Cross multiply
    293.74x = 405.22 × 175.64
  4. Step 4: Simplify right side
    293.74x = 71,173.41
  5. Step 5: Solve for x
    x = 71,173.41/293.74
  6. Step 6: Final answer
    x = 242.30

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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.