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Finding the Fourth Proportional to 452.43, 678.80 and 178.72

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Solution

The fourth proportional to 452.43, 678.80 and 178.72 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.43 : 678.80 = 178.72 : x
  2. Step 2: Convert to fraction form
    452.43/678.80 = 178.72/x
  3. Step 3: Cross multiply
    452.43x = 678.80 × 178.72
  4. Step 4: Simplify right side
    452.43x = 121,315.14
  5. Step 5: Solve for x
    x = 121,315.14/452.43
  6. Step 6: Final answer
    x = 268.14

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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.