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Finding the Fourth Proportional to 258.07, 356.14 and 141.64

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Solution

The fourth proportional to 258.07, 356.14 and 141.64 is: 195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.07 : 356.14 = 141.64 : x
  2. Step 2: Convert to fraction form
    258.07/356.14 = 141.64/x
  3. Step 3: Cross multiply
    258.07x = 356.14 × 141.64
  4. Step 4: Simplify right side
    258.07x = 50,441.18
  5. Step 5: Solve for x
    x = 50,441.18/258.07
  6. Step 6: Final answer
    x = 195.46

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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.