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Finding the Fourth Proportional to 295.02, 404.96 and 269.10

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Solution

The fourth proportional to 295.02, 404.96 and 269.10 is: 369.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.02 : 404.96 = 269.10 : x
  2. Step 2: Convert to fraction form
    295.02/404.96 = 269.10/x
  3. Step 3: Cross multiply
    295.02x = 404.96 × 269.10
  4. Step 4: Simplify right side
    295.02x = 108,973.39
  5. Step 5: Solve for x
    x = 108,973.39/295.02
  6. Step 6: Final answer
    x = 369.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.