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Finding the Fourth Proportional to 625.40, 938.16 and 192.92

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Solution

The fourth proportional to 625.40, 938.16 and 192.92 is: 289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.40 : 938.16 = 192.92 : x
  2. Step 2: Convert to fraction form
    625.40/938.16 = 192.92/x
  3. Step 3: Cross multiply
    625.40x = 938.16 × 192.92
  4. Step 4: Simplify right side
    625.40x = 180,989.83
  5. Step 5: Solve for x
    x = 180,989.83/625.40
  6. Step 6: Final answer
    x = 289.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.