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Finding the Fourth Proportional to 238.96, 358.22 and 202.64

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Solution

The fourth proportional to 238.96, 358.22 and 202.64 is: 303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.96 : 358.22 = 202.64 : x
  2. Step 2: Convert to fraction form
    238.96/358.22 = 202.64/x
  3. Step 3: Cross multiply
    238.96x = 358.22 × 202.64
  4. Step 4: Simplify right side
    238.96x = 72,588.42
  5. Step 5: Solve for x
    x = 72,588.42/238.96
  6. Step 6: Final answer
    x = 303.77

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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.