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Finding the Fourth Proportional to 267.47, 369.05 and 156.90

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Solution

The fourth proportional to 267.47, 369.05 and 156.90 is: 216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.47 : 369.05 = 156.90 : x
  2. Step 2: Convert to fraction form
    267.47/369.05 = 156.90/x
  3. Step 3: Cross multiply
    267.47x = 369.05 × 156.90
  4. Step 4: Simplify right side
    267.47x = 57,903.16
  5. Step 5: Solve for x
    x = 57,903.16/267.47
  6. Step 6: Final answer
    x = 216.49

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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.