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Finding the Fourth Proportional to 275.14, 412.76 and 177.74

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Solution

The fourth proportional to 275.14, 412.76 and 177.74 is: 266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.14 : 412.76 = 177.74 : x
  2. Step 2: Convert to fraction form
    275.14/412.76 = 177.74/x
  3. Step 3: Cross multiply
    275.14x = 412.76 × 177.74
  4. Step 4: Simplify right side
    275.14x = 73,363.07
  5. Step 5: Solve for x
    x = 73,363.07/275.14
  6. Step 6: Final answer
    x = 266.64

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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.