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Finding the Fourth Proportional to 258.38, 356.85 and 175.34

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Solution

The fourth proportional to 258.38, 356.85 and 175.34 is: 242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.38 : 356.85 = 175.34 : x
  2. Step 2: Convert to fraction form
    258.38/356.85 = 175.34/x
  3. Step 3: Cross multiply
    258.38x = 356.85 × 175.34
  4. Step 4: Simplify right side
    258.38x = 62,571.63
  5. Step 5: Solve for x
    x = 62,571.63/258.38
  6. Step 6: Final answer
    x = 242.17

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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.