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Finding the Fourth Proportional to 235.35, 324.80 and 137.12

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Solution

The fourth proportional to 235.35, 324.80 and 137.12 is: 189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.35 : 324.80 = 137.12 : x
  2. Step 2: Convert to fraction form
    235.35/324.80 = 137.12/x
  3. Step 3: Cross multiply
    235.35x = 324.80 × 137.12
  4. Step 4: Simplify right side
    235.35x = 44,536.58
  5. Step 5: Solve for x
    x = 44,536.58/235.35
  6. Step 6: Final answer
    x = 189.24

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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.