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Finding the Fourth Proportional to 267.42, 368.95 and 156.84

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Solution

The fourth proportional to 267.42, 368.95 and 156.84 is: 216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.42 : 368.95 = 156.84 : x
  2. Step 2: Convert to fraction form
    267.42/368.95 = 156.84/x
  3. Step 3: Cross multiply
    267.42x = 368.95 × 156.84
  4. Step 4: Simplify right side
    267.42x = 57,866.12
  5. Step 5: Solve for x
    x = 57,866.12/267.42
  6. Step 6: Final answer
    x = 216.39

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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.