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Finding the Fourth Proportional to 235.08, 324.41 and 128.74

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Solution

The fourth proportional to 235.08, 324.41 and 128.74 is: 177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.08 : 324.41 = 128.74 : x
  2. Step 2: Convert to fraction form
    235.08/324.41 = 128.74/x
  3. Step 3: Cross multiply
    235.08x = 324.41 × 128.74
  4. Step 4: Simplify right side
    235.08x = 41,762.36
  5. Step 5: Solve for x
    x = 41,762.36/235.08
  6. Step 6: Final answer
    x = 177.65

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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.