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Finding the Fourth Proportional to 235.30, 324.56 and 147.82

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Solution

The fourth proportional to 235.30, 324.56 and 147.82 is: 203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.30 : 324.56 = 147.82 : x
  2. Step 2: Convert to fraction form
    235.30/324.56 = 147.82/x
  3. Step 3: Cross multiply
    235.30x = 324.56 × 147.82
  4. Step 4: Simplify right side
    235.30x = 47,976.46
  5. Step 5: Solve for x
    x = 47,976.46/235.30
  6. Step 6: Final answer
    x = 203.89

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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.