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Finding the Fourth Proportional to 275.01, 412.25 and 177.50

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Solution

The fourth proportional to 275.01, 412.25 and 177.50 is: 266.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.01 : 412.25 = 177.50 : x
  2. Step 2: Convert to fraction form
    275.01/412.25 = 177.50/x
  3. Step 3: Cross multiply
    275.01x = 412.25 × 177.50
  4. Step 4: Simplify right side
    275.01x = 73,171.43
  5. Step 5: Solve for x
    x = 73,171.43/275.01
  6. Step 6: Final answer
    x = 266.07

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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.