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Finding the Fourth Proportional to 269.10, 370.50 and 234.59

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Solution

The fourth proportional to 269.10, 370.50 and 234.59 is: 322.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.10 : 370.50 = 234.59 : x
  2. Step 2: Convert to fraction form
    269.10/370.50 = 234.59/x
  3. Step 3: Cross multiply
    269.10x = 370.50 × 234.59
  4. Step 4: Simplify right side
    269.10x = 86,915.60
  5. Step 5: Solve for x
    x = 86,915.60/269.10
  6. Step 6: Final answer
    x = 322.99

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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.