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Finding the Fourth Proportional to 294.07, 440.31 and 178.36

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Solution

The fourth proportional to 294.07, 440.31 and 178.36 is: 267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.07 : 440.31 = 178.36 : x
  2. Step 2: Convert to fraction form
    294.07/440.31 = 178.36/x
  3. Step 3: Cross multiply
    294.07x = 440.31 × 178.36
  4. Step 4: Simplify right side
    294.07x = 78,533.69
  5. Step 5: Solve for x
    x = 78,533.69/294.07
  6. Step 6: Final answer
    x = 267.06

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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.