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Finding the Fourth Proportional to 293.86, 405.48 and 175.82

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Solution

The fourth proportional to 293.86, 405.48 and 175.82 is: 242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.86 : 405.48 = 175.82 : x
  2. Step 2: Convert to fraction form
    293.86/405.48 = 175.82/x
  3. Step 3: Cross multiply
    293.86x = 405.48 × 175.82
  4. Step 4: Simplify right side
    293.86x = 71,291.49
  5. Step 5: Solve for x
    x = 71,291.49/293.86
  6. Step 6: Final answer
    x = 242.60

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