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Finding the Fourth Proportional to 452.67, 678.75 and 178.82

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Solution

The fourth proportional to 452.67, 678.75 and 178.82 is: 268.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.67 : 678.75 = 178.82 : x
  2. Step 2: Convert to fraction form
    452.67/678.75 = 178.82/x
  3. Step 3: Cross multiply
    452.67x = 678.75 × 178.82
  4. Step 4: Simplify right side
    452.67x = 121,374.08
  5. Step 5: Solve for x
    x = 121,374.08/452.67
  6. Step 6: Final answer
    x = 268.13

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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.