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Finding the Fourth Proportional to 267.34, 368.96 and 149.31

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Solution

The fourth proportional to 267.34, 368.96 and 149.31 is: 206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.34 : 368.96 = 149.31 : x
  2. Step 2: Convert to fraction form
    267.34/368.96 = 149.31/x
  3. Step 3: Cross multiply
    267.34x = 368.96 × 149.31
  4. Step 4: Simplify right side
    267.34x = 55,088.67
  5. Step 5: Solve for x
    x = 55,088.67/267.34
  6. Step 6: Final answer
    x = 206.06

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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.