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Finding the Fourth Proportional to 452.52, 678.18 and 192.45

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Solution

The fourth proportional to 452.52, 678.18 and 192.45 is: 288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.52 : 678.18 = 192.45 : x
  2. Step 2: Convert to fraction form
    452.52/678.18 = 192.45/x
  3. Step 3: Cross multiply
    452.52x = 678.18 × 192.45
  4. Step 4: Simplify right side
    452.52x = 130,515.74
  5. Step 5: Solve for x
    x = 130,515.74/452.52
  6. Step 6: Final answer
    x = 288.42

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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.