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Finding the Fourth Proportional to 452.07, 678.20 and 192.07

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Solution

The fourth proportional to 452.07, 678.20 and 192.07 is: 288.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.07 : 678.20 = 192.07 : x
  2. Step 2: Convert to fraction form
    452.07/678.20 = 192.07/x
  3. Step 3: Cross multiply
    452.07x = 678.20 × 192.07
  4. Step 4: Simplify right side
    452.07x = 130,260.91
  5. Step 5: Solve for x
    x = 130,260.91/452.07
  6. Step 6: Final answer
    x = 288.14

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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.