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Finding the Fourth Proportional to 258.42, 356.62 and 146.38

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Solution

The fourth proportional to 258.42, 356.62 and 146.38 is: 202.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.42 : 356.62 = 146.38 : x
  2. Step 2: Convert to fraction form
    258.42/356.62 = 146.38/x
  3. Step 3: Cross multiply
    258.42x = 356.62 × 146.38
  4. Step 4: Simplify right side
    258.42x = 52,202.04
  5. Step 5: Solve for x
    x = 52,202.04/258.42
  6. Step 6: Final answer
    x = 202.00

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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.