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Finding the Fourth Proportional to 238.16, 328.55 and 149.68

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Solution

The fourth proportional to 238.16, 328.55 and 149.68 is: 206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.16 : 328.55 = 149.68 : x
  2. Step 2: Convert to fraction form
    238.16/328.55 = 149.68/x
  3. Step 3: Cross multiply
    238.16x = 328.55 × 149.68
  4. Step 4: Simplify right side
    238.16x = 49,176.92
  5. Step 5: Solve for x
    x = 49,176.92/238.16
  6. Step 6: Final answer
    x = 206.48

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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.