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Finding the Fourth Proportional to 269.08, 370.90 and 258.28

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Solution

The fourth proportional to 269.08, 370.90 and 258.28 is: 356.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.08 : 370.90 = 258.28 : x
  2. Step 2: Convert to fraction form
    269.08/370.90 = 258.28/x
  3. Step 3: Cross multiply
    269.08x = 370.90 × 258.28
  4. Step 4: Simplify right side
    269.08x = 95,796.05
  5. Step 5: Solve for x
    x = 95,796.05/269.08
  6. Step 6: Final answer
    x = 356.01

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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.