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Finding the Fourth Proportional to 269.56, 403.54 and 178

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Solution

The fourth proportional to 269.56, 403.54 and 178 is: 266.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.56 : 403.54 = 178 : x
  2. Step 2: Convert to fraction form
    269.56/403.54 = 178/x
  3. Step 3: Cross multiply
    269.56x = 403.54 × 178
  4. Step 4: Simplify right side
    269.56x = 71,830.12
  5. Step 5: Solve for x
    x = 71,830.12/269.56
  6. Step 6: Final answer
    x = 266.47

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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.