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Finding the Fourth Proportional to 160.28, 238.80 and 152.54

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Solution

The fourth proportional to 160.28, 238.80 and 152.54 is: 227.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.28 : 238.80 = 152.54 : x
  2. Step 2: Convert to fraction form
    160.28/238.80 = 152.54/x
  3. Step 3: Cross multiply
    160.28x = 238.80 × 152.54
  4. Step 4: Simplify right side
    160.28x = 36,426.55
  5. Step 5: Solve for x
    x = 36,426.55/160.28
  6. Step 6: Final answer
    x = 227.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.