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Finding the Fourth Proportional to 267, 400.64 and 153

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Solution

The fourth proportional to 267, 400.64 and 153 is: 229.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    267 : 400.64 = 153 : x
  2. Step 2: Convert to fraction form
    267/400.64 = 153/x
  3. Step 3: Cross multiply
    267x = 400.64 × 153
  4. Step 4: Simplify right side
    267x = 61,297.92
  5. Step 5: Solve for x
    x = 61,297.92/267
  6. Step 6: Final answer
    x = 229.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.