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Finding the Fourth Proportional to 267.23, 368.83 and 156.70

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Solution

The fourth proportional to 267.23, 368.83 and 156.70 is: 216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.23 : 368.83 = 156.70 : x
  2. Step 2: Convert to fraction form
    267.23/368.83 = 156.70/x
  3. Step 3: Cross multiply
    267.23x = 368.83 × 156.70
  4. Step 4: Simplify right side
    267.23x = 57,795.66
  5. Step 5: Solve for x
    x = 57,795.66/267.23
  6. Step 6: Final answer
    x = 216.28

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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.