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Finding the Fourth Proportional to 258.37, 356.59 and 146.37

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Solution

The fourth proportional to 258.37, 356.59 and 146.37 is: 202.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.37 : 356.59 = 146.37 : x
  2. Step 2: Convert to fraction form
    258.37/356.59 = 146.37/x
  3. Step 3: Cross multiply
    258.37x = 356.59 × 146.37
  4. Step 4: Simplify right side
    258.37x = 52,194.78
  5. Step 5: Solve for x
    x = 52,194.78/258.37
  6. Step 6: Final answer
    x = 202.01

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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.