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Finding the Fourth Proportional to 258.64, 356.86 and 148.10

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Solution

The fourth proportional to 258.64, 356.86 and 148.10 is: 204.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.64 : 356.86 = 148.10 : x
  2. Step 2: Convert to fraction form
    258.64/356.86 = 148.10/x
  3. Step 3: Cross multiply
    258.64x = 356.86 × 148.10
  4. Step 4: Simplify right side
    258.64x = 52,850.97
  5. Step 5: Solve for x
    x = 52,850.97/258.64
  6. Step 6: Final answer
    x = 204.34

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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.