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Finding the Fourth Proportional to 631.12, 946.68 and 192.37

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Solution

The fourth proportional to 631.12, 946.68 and 192.37 is: 288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.12 : 946.68 = 192.37 : x
  2. Step 2: Convert to fraction form
    631.12/946.68 = 192.37/x
  3. Step 3: Cross multiply
    631.12x = 946.68 × 192.37
  4. Step 4: Simplify right side
    631.12x = 182,111.87
  5. Step 5: Solve for x
    x = 182,111.87/631.12
  6. Step 6: Final answer
    x = 288.56

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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.