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Finding the Fourth Proportional to 267.12, 368.64 and 168.84

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Solution

The fourth proportional to 267.12, 368.64 and 168.84 is: 233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.12 : 368.64 = 168.84 : x
  2. Step 2: Convert to fraction form
    267.12/368.64 = 168.84/x
  3. Step 3: Cross multiply
    267.12x = 368.64 × 168.84
  4. Step 4: Simplify right side
    267.12x = 62,241.18
  5. Step 5: Solve for x
    x = 62,241.18/267.12
  6. Step 6: Final answer
    x = 233.01

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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.