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Finding the Fourth Proportional to 258.40, 356.52 and 200.08

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Solution

The fourth proportional to 258.40, 356.52 and 200.08 is: 276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.40 : 356.52 = 200.08 : x
  2. Step 2: Convert to fraction form
    258.40/356.52 = 200.08/x
  3. Step 3: Cross multiply
    258.40x = 356.52 × 200.08
  4. Step 4: Simplify right side
    258.40x = 71,332.52
  5. Step 5: Solve for x
    x = 71,332.52/258.40
  6. Step 6: Final answer
    x = 276.05

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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.