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Finding the Fourth Proportional to 452.93, 678.94 and 178.91

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Solution

The fourth proportional to 452.93, 678.94 and 178.91 is: 268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.93 : 678.94 = 178.91 : x
  2. Step 2: Convert to fraction form
    452.93/678.94 = 178.91/x
  3. Step 3: Cross multiply
    452.93x = 678.94 × 178.91
  4. Step 4: Simplify right side
    452.93x = 121,470.41
  5. Step 5: Solve for x
    x = 121,470.41/452.93
  6. Step 6: Final answer
    x = 268.19

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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.