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Finding the Fourth Proportional to 293.37, 439.18 and 177.46

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Solution

The fourth proportional to 293.37, 439.18 and 177.46 is: 265.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.37 : 439.18 = 177.46 : x
  2. Step 2: Convert to fraction form
    293.37/439.18 = 177.46/x
  3. Step 3: Cross multiply
    293.37x = 439.18 × 177.46
  4. Step 4: Simplify right side
    293.37x = 77,937.86
  5. Step 5: Solve for x
    x = 77,937.86/293.37
  6. Step 6: Final answer
    x = 265.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.