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Finding the Fourth Proportional to 466.14, 698.78 and 177.36

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Solution

The fourth proportional to 466.14, 698.78 and 177.36 is: 265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.14 : 698.78 = 177.36 : x
  2. Step 2: Convert to fraction form
    466.14/698.78 = 177.36/x
  3. Step 3: Cross multiply
    466.14x = 698.78 × 177.36
  4. Step 4: Simplify right side
    466.14x = 123,935.62
  5. Step 5: Solve for x
    x = 123,935.62/466.14
  6. Step 6: Final answer
    x = 265.88

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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.