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Finding the Fourth Proportional to 238, 357.14 and 109.76

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Solution

The fourth proportional to 238, 357.14 and 109.76 is: 164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238 : 357.14 = 109.76 : x
  2. Step 2: Convert to fraction form
    238/357.14 = 109.76/x
  3. Step 3: Cross multiply
    238x = 357.14 × 109.76
  4. Step 4: Simplify right side
    238x = 39,199.69
  5. Step 5: Solve for x
    x = 39,199.69/238
  6. Step 6: Final answer
    x = 164.70

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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.