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Finding the Fourth Proportional to 452.02, 677.83 and 192.14

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Solution

The fourth proportional to 452.02, 677.83 and 192.14 is: 288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.02 : 677.83 = 192.14 : x
  2. Step 2: Convert to fraction form
    452.02/677.83 = 192.14/x
  3. Step 3: Cross multiply
    452.02x = 677.83 × 192.14
  4. Step 4: Simplify right side
    452.02x = 130,238.26
  5. Step 5: Solve for x
    x = 130,238.26/452.02
  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.