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Finding the Fourth Proportional to 267.19, 368.41 and 214.84

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Solution

The fourth proportional to 267.19, 368.41 and 214.84 is: 296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.19 : 368.41 = 214.84 : x
  2. Step 2: Convert to fraction form
    267.19/368.41 = 214.84/x
  3. Step 3: Cross multiply
    267.19x = 368.41 × 214.84
  4. Step 4: Simplify right side
    267.19x = 79,149.20
  5. Step 5: Solve for x
    x = 79,149.20/267.19
  6. Step 6: Final answer
    x = 296.23

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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.