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Finding the Fourth Proportional to 275.13, 412.70 and 178.88

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Solution

The fourth proportional to 275.13, 412.70 and 178.88 is: 268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.13 : 412.70 = 178.88 : x
  2. Step 2: Convert to fraction form
    275.13/412.70 = 178.88/x
  3. Step 3: Cross multiply
    275.13x = 412.70 × 178.88
  4. Step 4: Simplify right side
    275.13x = 73,820.82
  5. Step 5: Solve for x
    x = 73,820.82/275.13
  6. Step 6: Final answer
    x = 268.31

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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.