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Finding the Fourth Proportional to 269.35, 401.75 and 245.77

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Solution

The fourth proportional to 269.35, 401.75 and 245.77 is: 366.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.35 : 401.75 = 245.77 : x
  2. Step 2: Convert to fraction form
    269.35/401.75 = 245.77/x
  3. Step 3: Cross multiply
    269.35x = 401.75 × 245.77
  4. Step 4: Simplify right side
    269.35x = 98,738.10
  5. Step 5: Solve for x
    x = 98,738.10/269.35
  6. Step 6: Final answer
    x = 366.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.