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Finding the Fourth Proportional to 466.52, 699.69 and 177.90

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Solution

The fourth proportional to 466.52, 699.69 and 177.90 is: 266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.52 : 699.69 = 177.90 : x
  2. Step 2: Convert to fraction form
    466.52/699.69 = 177.90/x
  3. Step 3: Cross multiply
    466.52x = 699.69 × 177.90
  4. Step 4: Simplify right side
    466.52x = 124,474.85
  5. Step 5: Solve for x
    x = 124,474.85/466.52
  6. Step 6: Final answer
    x = 266.82

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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.