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Finding the Fourth Proportional to 412.53, 619.02 and 178.25

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Solution

The fourth proportional to 412.53, 619.02 and 178.25 is: 267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.53 : 619.02 = 178.25 : x
  2. Step 2: Convert to fraction form
    412.53/619.02 = 178.25/x
  3. Step 3: Cross multiply
    412.53x = 619.02 × 178.25
  4. Step 4: Simplify right side
    412.53x = 110,340.32
  5. Step 5: Solve for x
    x = 110,340.32/412.53
  6. Step 6: Final answer
    x = 267.47

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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.