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Finding the Fourth Proportional to 238.35, 357.14 and 146.86

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Solution

The fourth proportional to 238.35, 357.14 and 146.86 is: 220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.35 : 357.14 = 146.86 : x
  2. Step 2: Convert to fraction form
    238.35/357.14 = 146.86/x
  3. Step 3: Cross multiply
    238.35x = 357.14 × 146.86
  4. Step 4: Simplify right side
    238.35x = 52,449.58
  5. Step 5: Solve for x
    x = 52,449.58/238.35
  6. Step 6: Final answer
    x = 220.05

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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.