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Finding the Fourth Proportional to 267.07, 368.55 and 149.04

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Solution

The fourth proportional to 267.07, 368.55 and 149.04 is: 205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.07 : 368.55 = 149.04 : x
  2. Step 2: Convert to fraction form
    267.07/368.55 = 149.04/x
  3. Step 3: Cross multiply
    267.07x = 368.55 × 149.04
  4. Step 4: Simplify right side
    267.07x = 54,928.69
  5. Step 5: Solve for x
    x = 54,928.69/267.07
  6. Step 6: Final answer
    x = 205.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.