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Finding the Fourth Proportional to 275.10, 412.64 and 171.22

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Solution

The fourth proportional to 275.10, 412.64 and 171.22 is: 256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.10 : 412.64 = 171.22 : x
  2. Step 2: Convert to fraction form
    275.10/412.64 = 171.22/x
  3. Step 3: Cross multiply
    275.10x = 412.64 × 171.22
  4. Step 4: Simplify right side
    275.10x = 70,652.22
  5. Step 5: Solve for x
    x = 70,652.22/275.10
  6. Step 6: Final answer
    x = 256.82

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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.