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Finding the Fourth Proportional to 179.48, 267.72 and 150.77

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Solution

The fourth proportional to 179.48, 267.72 and 150.77 is: 224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.48 : 267.72 = 150.77 : x
  2. Step 2: Convert to fraction form
    179.48/267.72 = 150.77/x
  3. Step 3: Cross multiply
    179.48x = 267.72 × 150.77
  4. Step 4: Simplify right side
    179.48x = 40,364.14
  5. Step 5: Solve for x
    x = 40,364.14/179.48
  6. Step 6: Final answer
    x = 224.89

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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.