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Finding the Fourth Proportional to 253.57, 379.50 and 176.26

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Solution

The fourth proportional to 253.57, 379.50 and 176.26 is: 263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.57 : 379.50 = 176.26 : x
  2. Step 2: Convert to fraction form
    253.57/379.50 = 176.26/x
  3. Step 3: Cross multiply
    253.57x = 379.50 × 176.26
  4. Step 4: Simplify right side
    253.57x = 66,890.67
  5. Step 5: Solve for x
    x = 66,890.67/253.57
  6. Step 6: Final answer
    x = 263.80

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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.