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Finding the Fourth Proportional to 171.37, 258.11 and 152.34

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Solution

The fourth proportional to 171.37, 258.11 and 152.34 is: 229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.37 : 258.11 = 152.34 : x
  2. Step 2: Convert to fraction form
    171.37/258.11 = 152.34/x
  3. Step 3: Cross multiply
    171.37x = 258.11 × 152.34
  4. Step 4: Simplify right side
    171.37x = 39,320.48
  5. Step 5: Solve for x
    x = 39,320.48/171.37
  6. Step 6: Final answer
    x = 229.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.