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Finding the Fourth Proportional to 235.68, 324.42 and 194.07

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Solution

The fourth proportional to 235.68, 324.42 and 194.07 is: 267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.68 : 324.42 = 194.07 : x
  2. Step 2: Convert to fraction form
    235.68/324.42 = 194.07/x
  3. Step 3: Cross multiply
    235.68x = 324.42 × 194.07
  4. Step 4: Simplify right side
    235.68x = 62,960.19
  5. Step 5: Solve for x
    x = 62,960.19/235.68
  6. Step 6: Final answer
    x = 267.14

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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.