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Finding the Fourth Proportional to 293.95, 405.58 and 167.88

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Solution

The fourth proportional to 293.95, 405.58 and 167.88 is: 231.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.95 : 405.58 = 167.88 : x
  2. Step 2: Convert to fraction form
    293.95/405.58 = 167.88/x
  3. Step 3: Cross multiply
    293.95x = 405.58 × 167.88
  4. Step 4: Simplify right side
    293.95x = 68,088.24
  5. Step 5: Solve for x
    x = 68,088.24/293.95
  6. Step 6: Final answer
    x = 231.63

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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.