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Finding the Fourth Proportional to 466.94, 700.45 and 158.80

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Solution

The fourth proportional to 466.94, 700.45 and 158.80 is: 238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.94 : 700.45 = 158.80 : x
  2. Step 2: Convert to fraction form
    466.94/700.45 = 158.80/x
  3. Step 3: Cross multiply
    466.94x = 700.45 × 158.80
  4. Step 4: Simplify right side
    466.94x = 111,231.46
  5. Step 5: Solve for x
    x = 111,231.46/466.94
  6. Step 6: Final answer
    x = 238.21

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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.