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Finding the Fourth Proportional to 272.05, 407.61 and 175.66

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Solution

The fourth proportional to 272.05, 407.61 and 175.66 is: 263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.05 : 407.61 = 175.66 : x
  2. Step 2: Convert to fraction form
    272.05/407.61 = 175.66/x
  3. Step 3: Cross multiply
    272.05x = 407.61 × 175.66
  4. Step 4: Simplify right side
    272.05x = 71,600.77
  5. Step 5: Solve for x
    x = 71,600.77/272.05
  6. Step 6: Final answer
    x = 263.19

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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.