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Finding the Fourth Proportional to 235, 324.11 and 152.11

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Solution

The fourth proportional to 235, 324.11 and 152.11 is: 209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    235 : 324.11 = 152.11 : x
  2. Step 2: Convert to fraction form
    235/324.11 = 152.11/x
  3. Step 3: Cross multiply
    235x = 324.11 × 152.11
  4. Step 4: Simplify right side
    235x = 49,300.37
  5. Step 5: Solve for x
    x = 49,300.37/235
  6. Step 6: Final answer
    x = 209.79

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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.