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Finding the Fourth Proportional to 452.18, 678.40 and 192.05

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Solution

The fourth proportional to 452.18, 678.40 and 192.05 is: 288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.18 : 678.40 = 192.05 : x
  2. Step 2: Convert to fraction form
    452.18/678.40 = 192.05/x
  3. Step 3: Cross multiply
    452.18x = 678.40 × 192.05
  4. Step 4: Simplify right side
    452.18x = 130,282.85
  5. Step 5: Solve for x
    x = 130,282.85/452.18
  6. Step 6: Final answer
    x = 288.12

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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.