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Finding the Fourth Proportional to 293.16, 440.36 and 177.76

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Solution

The fourth proportional to 293.16, 440.36 and 177.76 is: 267.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.16 : 440.36 = 177.76 : x
  2. Step 2: Convert to fraction form
    293.16/440.36 = 177.76/x
  3. Step 3: Cross multiply
    293.16x = 440.36 × 177.76
  4. Step 4: Simplify right side
    293.16x = 78,278.39
  5. Step 5: Solve for x
    x = 78,278.39/293.16
  6. Step 6: Final answer
    x = 267.02

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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.