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Finding the Fourth Proportional to 269.04, 370.86 and 195.24

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Solution

The fourth proportional to 269.04, 370.86 and 195.24 is: 269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.04 : 370.86 = 195.24 : x
  2. Step 2: Convert to fraction form
    269.04/370.86 = 195.24/x
  3. Step 3: Cross multiply
    269.04x = 370.86 × 195.24
  4. Step 4: Simplify right side
    269.04x = 72,406.71
  5. Step 5: Solve for x
    x = 72,406.71/269.04
  6. Step 6: Final answer
    x = 269.13

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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.