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Finding the Fourth Proportional to 380.12, 570.18 and 123.64

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Solution

The fourth proportional to 380.12, 570.18 and 123.64 is: 185.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.12 : 570.18 = 123.64 : x
  2. Step 2: Convert to fraction form
    380.12/570.18 = 123.64/x
  3. Step 3: Cross multiply
    380.12x = 570.18 × 123.64
  4. Step 4: Simplify right side
    380.12x = 70,497.06
  5. Step 5: Solve for x
    x = 70,497.06/380.12
  6. Step 6: Final answer
    x = 185.46

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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.