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Finding the Fourth Proportional to 267.42, 400.74 and 145.79

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Solution

The fourth proportional to 267.42, 400.74 and 145.79 is: 218.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.42 : 400.74 = 145.79 : x
  2. Step 2: Convert to fraction form
    267.42/400.74 = 145.79/x
  3. Step 3: Cross multiply
    267.42x = 400.74 × 145.79
  4. Step 4: Simplify right side
    267.42x = 58,421.88
  5. Step 5: Solve for x
    x = 58,421.88/267.42
  6. Step 6: Final answer
    x = 218.46

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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.