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Finding the Fourth Proportional to 452.68, 678.56 and 178.66

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Solution

The fourth proportional to 452.68, 678.56 and 178.66 is: 267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.68 : 678.56 = 178.66 : x
  2. Step 2: Convert to fraction form
    452.68/678.56 = 178.66/x
  3. Step 3: Cross multiply
    452.68x = 678.56 × 178.66
  4. Step 4: Simplify right side
    452.68x = 121,231.53
  5. Step 5: Solve for x
    x = 121,231.53/452.68
  6. Step 6: Final answer
    x = 267.81

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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.