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Finding the Fourth Proportional to 466.38, 699.55 and 158.39

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Solution

The fourth proportional to 466.38, 699.55 and 158.39 is: 237.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.38 : 699.55 = 158.39 : x
  2. Step 2: Convert to fraction form
    466.38/699.55 = 158.39/x
  3. Step 3: Cross multiply
    466.38x = 699.55 × 158.39
  4. Step 4: Simplify right side
    466.38x = 110,801.72
  5. Step 5: Solve for x
    x = 110,801.72/466.38
  6. Step 6: Final answer
    x = 237.58

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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.