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Finding the Fourth Proportional to 452.84, 678.64 and 178.78

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Solution

The fourth proportional to 452.84, 678.64 and 178.78 is: 267.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.84 : 678.64 = 178.78 : x
  2. Step 2: Convert to fraction form
    452.84/678.64 = 178.78/x
  3. Step 3: Cross multiply
    452.84x = 678.64 × 178.78
  4. Step 4: Simplify right side
    452.84x = 121,327.26
  5. Step 5: Solve for x
    x = 121,327.26/452.84
  6. Step 6: Final answer
    x = 267.93

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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.