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Finding the Fourth Proportional to 466.10, 699.13 and 119.41

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Solution

The fourth proportional to 466.10, 699.13 and 119.41 is: 179.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.10 : 699.13 = 119.41 : x
  2. Step 2: Convert to fraction form
    466.10/699.13 = 119.41/x
  3. Step 3: Cross multiply
    466.10x = 699.13 × 119.41
  4. Step 4: Simplify right side
    466.10x = 83,483.11
  5. Step 5: Solve for x
    x = 83,483.11/466.10
  6. Step 6: Final answer
    x = 179.11

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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.