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Finding the Fourth Proportional to 267.26, 368.87 and 156.75

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Solution

The fourth proportional to 267.26, 368.87 and 156.75 is: 216.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.26 : 368.87 = 156.75 : x
  2. Step 2: Convert to fraction form
    267.26/368.87 = 156.75/x
  3. Step 3: Cross multiply
    267.26x = 368.87 × 156.75
  4. Step 4: Simplify right side
    267.26x = 57,820.37
  5. Step 5: Solve for x
    x = 57,820.37/267.26
  6. Step 6: Final answer
    x = 216.35

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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.