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Finding the Fourth Proportional to 179.43, 267.86 and 152.10

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Solution

The fourth proportional to 179.43, 267.86 and 152.10 is: 227.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.43 : 267.86 = 152.10 : x
  2. Step 2: Convert to fraction form
    179.43/267.86 = 152.10/x
  3. Step 3: Cross multiply
    179.43x = 267.86 × 152.10
  4. Step 4: Simplify right side
    179.43x = 40,740.75
  5. Step 5: Solve for x
    x = 40,740.75/179.43
  6. Step 6: Final answer
    x = 227.06

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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.