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Finding the Fourth Proportional to 466.34, 699.80 and 177.75

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Solution

The fourth proportional to 466.34, 699.80 and 177.75 is: 266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.34 : 699.80 = 177.75 : x
  2. Step 2: Convert to fraction form
    466.34/699.80 = 177.75/x
  3. Step 3: Cross multiply
    466.34x = 699.80 × 177.75
  4. Step 4: Simplify right side
    466.34x = 124,388.56
  5. Step 5: Solve for x
    x = 124,388.56/466.34
  6. Step 6: Final answer
    x = 266.74

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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.