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Finding the Fourth Proportional to 466.29, 699.57 and 177.75

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Solution

The fourth proportional to 466.29, 699.57 and 177.75 is: 266.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.29 : 699.57 = 177.75 : x
  2. Step 2: Convert to fraction form
    466.29/699.57 = 177.75/x
  3. Step 3: Cross multiply
    466.29x = 699.57 × 177.75
  4. Step 4: Simplify right side
    466.29x = 124,348.57
  5. Step 5: Solve for x
    x = 124,348.57/466.29
  6. Step 6: Final answer
    x = 266.68

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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.