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Finding the Fourth Proportional to 466.50, 699.72 and 141.90

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Solution

The fourth proportional to 466.50, 699.72 and 141.90 is: 212.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.50 : 699.72 = 141.90 : x
  2. Step 2: Convert to fraction form
    466.50/699.72 = 141.90/x
  3. Step 3: Cross multiply
    466.50x = 699.72 × 141.90
  4. Step 4: Simplify right side
    466.50x = 99,290.27
  5. Step 5: Solve for x
    x = 99,290.27/466.50
  6. Step 6: Final answer
    x = 212.84

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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.