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Finding the Fourth Proportional to 235.60, 324.04 and 224.08

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Solution

The fourth proportional to 235.60, 324.04 and 224.08 is: 308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.60 : 324.04 = 224.08 : x
  2. Step 2: Convert to fraction form
    235.60/324.04 = 224.08/x
  3. Step 3: Cross multiply
    235.60x = 324.04 × 224.08
  4. Step 4: Simplify right side
    235.60x = 72,610.88
  5. Step 5: Solve for x
    x = 72,610.88/235.60
  6. Step 6: Final answer
    x = 308.20

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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.