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Finding the Fourth Proportional to 292.64, 403.84 and 168.37

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Solution

The fourth proportional to 292.64, 403.84 and 168.37 is: 232.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.64 : 403.84 = 168.37 : x
  2. Step 2: Convert to fraction form
    292.64/403.84 = 168.37/x
  3. Step 3: Cross multiply
    292.64x = 403.84 × 168.37
  4. Step 4: Simplify right side
    292.64x = 67,995.26
  5. Step 5: Solve for x
    x = 67,995.26/292.64
  6. Step 6: Final answer
    x = 232.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.