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Finding the Fourth Proportional to 452.45, 678.78 and 178.52

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Solution

The fourth proportional to 452.45, 678.78 and 178.52 is: 267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.45 : 678.78 = 178.52 : x
  2. Step 2: Convert to fraction form
    452.45/678.78 = 178.52/x
  3. Step 3: Cross multiply
    452.45x = 678.78 × 178.52
  4. Step 4: Simplify right side
    452.45x = 121,175.81
  5. Step 5: Solve for x
    x = 121,175.81/452.45
  6. Step 6: Final answer
    x = 267.82

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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.