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Finding the Fourth Proportional to 267.58, 401.99 and 159.45

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Solution

The fourth proportional to 267.58, 401.99 and 159.45 is: 239.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.58 : 401.99 = 159.45 : x
  2. Step 2: Convert to fraction form
    267.58/401.99 = 159.45/x
  3. Step 3: Cross multiply
    267.58x = 401.99 × 159.45
  4. Step 4: Simplify right side
    267.58x = 64,097.31
  5. Step 5: Solve for x
    x = 64,097.31/267.58
  6. Step 6: Final answer
    x = 239.54

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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.