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Finding the Fourth Proportional to 161.76, 240.96 and 152.64

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Solution

The fourth proportional to 161.76, 240.96 and 152.64 is: 227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.76 : 240.96 = 152.64 : x
  2. Step 2: Convert to fraction form
    161.76/240.96 = 152.64/x
  3. Step 3: Cross multiply
    161.76x = 240.96 × 152.64
  4. Step 4: Simplify right side
    161.76x = 36,780.13
  5. Step 5: Solve for x
    x = 36,780.13/161.76
  6. Step 6: Final answer
    x = 227.37

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