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Finding the Fourth Proportional to 235.15, 324.41 and 152.38

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Solution

The fourth proportional to 235.15, 324.41 and 152.38 is: 210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.15 : 324.41 = 152.38 : x
  2. Step 2: Convert to fraction form
    235.15/324.41 = 152.38/x
  3. Step 3: Cross multiply
    235.15x = 324.41 × 152.38
  4. Step 4: Simplify right side
    235.15x = 49,433.24
  5. Step 5: Solve for x
    x = 49,433.24/235.15
  6. Step 6: Final answer
    x = 210.22

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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.