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Finding the Fourth Proportional to 466.14, 699.18 and 124.14

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Solution

The fourth proportional to 466.14, 699.18 and 124.14 is: 186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.14 : 699.18 = 124.14 : x
  2. Step 2: Convert to fraction form
    466.14/699.18 = 124.14/x
  3. Step 3: Cross multiply
    466.14x = 699.18 × 124.14
  4. Step 4: Simplify right side
    466.14x = 86,796.21
  5. Step 5: Solve for x
    x = 86,796.21/466.14
  6. Step 6: Final answer
    x = 186.20

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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.