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Finding the Fourth Proportional to 268.85, 403.11 and 153.24

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Solution

The fourth proportional to 268.85, 403.11 and 153.24 is: 229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.85 : 403.11 = 153.24 : x
  2. Step 2: Convert to fraction form
    268.85/403.11 = 153.24/x
  3. Step 3: Cross multiply
    268.85x = 403.11 × 153.24
  4. Step 4: Simplify right side
    268.85x = 61,772.58
  5. Step 5: Solve for x
    x = 61,772.58/268.85
  6. Step 6: Final answer
    x = 229.77

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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.