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Finding the Fourth Proportional to 294.04, 440.81 and 178.60

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Solution

The fourth proportional to 294.04, 440.81 and 178.60 is: 267.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.04 : 440.81 = 178.60 : x
  2. Step 2: Convert to fraction form
    294.04/440.81 = 178.60/x
  3. Step 3: Cross multiply
    294.04x = 440.81 × 178.60
  4. Step 4: Simplify right side
    294.04x = 78,728.67
  5. Step 5: Solve for x
    x = 78,728.67/294.04
  6. Step 6: Final answer
    x = 267.75

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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.