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Finding the Fourth Proportional to 466.74, 700.17 and 158.49

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Solution

The fourth proportional to 466.74, 700.17 and 158.49 is: 237.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.74 : 700.17 = 158.49 : x
  2. Step 2: Convert to fraction form
    466.74/700.17 = 158.49/x
  3. Step 3: Cross multiply
    466.74x = 700.17 × 158.49
  4. Step 4: Simplify right side
    466.74x = 110,969.94
  5. Step 5: Solve for x
    x = 110,969.94/466.74
  6. Step 6: Final answer
    x = 237.76

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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.