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Finding the Fourth Proportional to 466.63, 699.84 and 158.49

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Solution

The fourth proportional to 466.63, 699.84 and 158.49 is: 237.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.63 : 699.84 = 158.49 : x
  2. Step 2: Convert to fraction form
    466.63/699.84 = 158.49/x
  3. Step 3: Cross multiply
    466.63x = 699.84 × 158.49
  4. Step 4: Simplify right side
    466.63x = 110,917.64
  5. Step 5: Solve for x
    x = 110,917.64/466.63
  6. Step 6: Final answer
    x = 237.70

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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.