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Finding the Fourth Proportional to 272.86, 409.67 and 175.50

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Solution

The fourth proportional to 272.86, 409.67 and 175.50 is: 263.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.86 : 409.67 = 175.50 : x
  2. Step 2: Convert to fraction form
    272.86/409.67 = 175.50/x
  3. Step 3: Cross multiply
    272.86x = 409.67 × 175.50
  4. Step 4: Simplify right side
    272.86x = 71,897.74
  5. Step 5: Solve for x
    x = 71,897.74/272.86
  6. Step 6: Final answer
    x = 263.50

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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.