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Finding the Fourth Proportional to 269.03, 403.58 and 86.38

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Solution

The fourth proportional to 269.03, 403.58 and 86.38 is: 129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.03 : 403.58 = 86.38 : x
  2. Step 2: Convert to fraction form
    269.03/403.58 = 86.38/x
  3. Step 3: Cross multiply
    269.03x = 403.58 × 86.38
  4. Step 4: Simplify right side
    269.03x = 34,862.23
  5. Step 5: Solve for x
    x = 34,862.23/269.03
  6. Step 6: Final answer
    x = 129.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.