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Finding the Fourth Proportional to 292.51, 403.65 and 161.51

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Solution

The fourth proportional to 292.51, 403.65 and 161.51 is: 222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.51 : 403.65 = 161.51 : x
  2. Step 2: Convert to fraction form
    292.51/403.65 = 161.51/x
  3. Step 3: Cross multiply
    292.51x = 403.65 × 161.51
  4. Step 4: Simplify right side
    292.51x = 65,193.31
  5. Step 5: Solve for x
    x = 65,193.31/292.51
  6. Step 6: Final answer
    x = 222.88

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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.