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Finding the Fourth Proportional to 466.44, 699.70 and 177.88

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Solution

The fourth proportional to 466.44, 699.70 and 177.88 is: 266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.44 : 699.70 = 177.88 : x
  2. Step 2: Convert to fraction form
    466.44/699.70 = 177.88/x
  3. Step 3: Cross multiply
    466.44x = 699.70 × 177.88
  4. Step 4: Simplify right side
    466.44x = 124,462.64
  5. Step 5: Solve for x
    x = 124,462.64/466.44
  6. Step 6: Final answer
    x = 266.84

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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.