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Finding the Fourth Proportional to 237.54, 356.46 and 109.29

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Solution

The fourth proportional to 237.54, 356.46 and 109.29 is: 164.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.54 : 356.46 = 109.29 : x
  2. Step 2: Convert to fraction form
    237.54/356.46 = 109.29/x
  3. Step 3: Cross multiply
    237.54x = 356.46 × 109.29
  4. Step 4: Simplify right side
    237.54x = 38,957.51
  5. Step 5: Solve for x
    x = 38,957.51/237.54
  6. Step 6: Final answer
    x = 164.00

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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.