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Finding the Fourth Proportional to 466.37, 699.64 and 177.80

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Solution

The fourth proportional to 466.37, 699.64 and 177.80 is: 266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.37 : 699.64 = 177.80 : x
  2. Step 2: Convert to fraction form
    466.37/699.64 = 177.80/x
  3. Step 3: Cross multiply
    466.37x = 699.64 × 177.80
  4. Step 4: Simplify right side
    466.37x = 124,397.30
  5. Step 5: Solve for x
    x = 124,397.30/466.37
  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.