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Finding the Fourth Proportional to 235.43, 324.97 and 152.47

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Solution

The fourth proportional to 235.43, 324.97 and 152.47 is: 210.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.43 : 324.97 = 152.47 : x
  2. Step 2: Convert to fraction form
    235.43/324.97 = 152.47/x
  3. Step 3: Cross multiply
    235.43x = 324.97 × 152.47
  4. Step 4: Simplify right side
    235.43x = 49,548.18
  5. Step 5: Solve for x
    x = 49,548.18/235.43
  6. Step 6: Final answer
    x = 210.46

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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.