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Finding the Fourth Proportional to 292.45, 403.61 and 218.64

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Solution

The fourth proportional to 292.45, 403.61 and 218.64 is: 301.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.45 : 403.61 = 218.64 : x
  2. Step 2: Convert to fraction form
    292.45/403.61 = 218.64/x
  3. Step 3: Cross multiply
    292.45x = 403.61 × 218.64
  4. Step 4: Simplify right side
    292.45x = 88,242.18
  5. Step 5: Solve for x
    x = 88,242.18/292.45
  6. Step 6: Final answer
    x = 301.74

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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.