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Finding the Fourth Proportional to 179.60, 267.61 and 160.45

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Solution

The fourth proportional to 179.60, 267.61 and 160.45 is: 239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.60 : 267.61 = 160.45 : x
  2. Step 2: Convert to fraction form
    179.60/267.61 = 160.45/x
  3. Step 3: Cross multiply
    179.60x = 267.61 × 160.45
  4. Step 4: Simplify right side
    179.60x = 42,935.88
  5. Step 5: Solve for x
    x = 42,935.88/179.60
  6. Step 6: Final answer
    x = 239.07

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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.