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Finding the Fourth Proportional to 161.79, 223.47 and 130.74

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Solution

The fourth proportional to 161.79, 223.47 and 130.74 is: 180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.79 : 223.47 = 130.74 : x
  2. Step 2: Convert to fraction form
    161.79/223.47 = 130.74/x
  3. Step 3: Cross multiply
    161.79x = 223.47 × 130.74
  4. Step 4: Simplify right side
    161.79x = 29,216.47
  5. Step 5: Solve for x
    x = 29,216.47/161.79
  6. Step 6: Final answer
    x = 180.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.