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Finding the Fourth Proportional to 239.48, 358.27 and 181.86

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Solution

The fourth proportional to 239.48, 358.27 and 181.86 is: 272.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.48 : 358.27 = 181.86 : x
  2. Step 2: Convert to fraction form
    239.48/358.27 = 181.86/x
  3. Step 3: Cross multiply
    239.48x = 358.27 × 181.86
  4. Step 4: Simplify right side
    239.48x = 65,154.98
  5. Step 5: Solve for x
    x = 65,154.98/239.48
  6. Step 6: Final answer
    x = 272.07

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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.