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Finding the Fourth Proportional to 238.16, 328.85 and 150.86

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Solution

The fourth proportional to 238.16, 328.85 and 150.86 is: 208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.16 : 328.85 = 150.86 : x
  2. Step 2: Convert to fraction form
    238.16/328.85 = 150.86/x
  3. Step 3: Cross multiply
    238.16x = 328.85 × 150.86
  4. Step 4: Simplify right side
    238.16x = 49,610.31
  5. Step 5: Solve for x
    x = 49,610.31/238.16
  6. Step 6: Final answer
    x = 208.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.