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Finding the Fourth Proportional to 293.34, 439.79 and 177.76

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Solution

The fourth proportional to 293.34, 439.79 and 177.76 is: 266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.34 : 439.79 = 177.76 : x
  2. Step 2: Convert to fraction form
    293.34/439.79 = 177.76/x
  3. Step 3: Cross multiply
    293.34x = 439.79 × 177.76
  4. Step 4: Simplify right side
    293.34x = 78,177.07
  5. Step 5: Solve for x
    x = 78,177.07/293.34
  6. Step 6: Final answer
    x = 266.51

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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.