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Finding the Fourth Proportional to 466.66, 700.14 and 142.03

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Solution

The fourth proportional to 466.66, 700.14 and 142.03 is: 213.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.66 : 700.14 = 142.03 : x
  2. Step 2: Convert to fraction form
    466.66/700.14 = 142.03/x
  3. Step 3: Cross multiply
    466.66x = 700.14 × 142.03
  4. Step 4: Simplify right side
    466.66x = 99,440.88
  5. Step 5: Solve for x
    x = 99,440.88/466.66
  6. Step 6: Final answer
    x = 213.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.