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Finding the Fourth Proportional to 269.80, 364.50 and 269.80

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Solution

The fourth proportional to 269.80, 364.50 and 269.80 is: 364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.80 : 364.50 = 269.80 : x
  2. Step 2: Convert to fraction form
    269.80/364.50 = 269.80/x
  3. Step 3: Cross multiply
    269.80x = 364.50 × 269.80
  4. Step 4: Simplify right side
    269.80x = 98,342.10
  5. Step 5: Solve for x
    x = 98,342.10/269.80
  6. Step 6: Final answer
    x = 364.50

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.