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Finding the Fourth Proportional to 292.64, 403.84 and 161.65

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Solution

The fourth proportional to 292.64, 403.84 and 161.65 is: 223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.64 : 403.84 = 161.65 : x
  2. Step 2: Convert to fraction form
    292.64/403.84 = 161.65/x
  3. Step 3: Cross multiply
    292.64x = 403.84 × 161.65
  4. Step 4: Simplify right side
    292.64x = 65,280.76
  5. Step 5: Solve for x
    x = 65,280.76/292.64
  6. Step 6: Final answer
    x = 223.07

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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.