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Finding the Fourth Proportional to 237.97, 328.49 and 160.39

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Solution

The fourth proportional to 237.97, 328.49 and 160.39 is: 221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.97 : 328.49 = 160.39 : x
  2. Step 2: Convert to fraction form
    237.97/328.49 = 160.39/x
  3. Step 3: Cross multiply
    237.97x = 328.49 × 160.39
  4. Step 4: Simplify right side
    237.97x = 52,686.51
  5. Step 5: Solve for x
    x = 52,686.51/237.97
  6. Step 6: Final answer
    x = 221.40

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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.