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Finding the Fourth Proportional to 630.96, 946.34 and 168.75

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Solution

The fourth proportional to 630.96, 946.34 and 168.75 is: 253.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.96 : 946.34 = 168.75 : x
  2. Step 2: Convert to fraction form
    630.96/946.34 = 168.75/x
  3. Step 3: Cross multiply
    630.96x = 946.34 × 168.75
  4. Step 4: Simplify right side
    630.96x = 159,694.03
  5. Step 5: Solve for x
    x = 159,694.03/630.96
  6. Step 6: Final answer
    x = 253.10

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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.