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Finding the Fourth Proportional to 267.51, 368.78 and 209.19

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Solution

The fourth proportional to 267.51, 368.78 and 209.19 is: 288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.51 : 368.78 = 209.19 : x
  2. Step 2: Convert to fraction form
    267.51/368.78 = 209.19/x
  3. Step 3: Cross multiply
    267.51x = 368.78 × 209.19
  4. Step 4: Simplify right side
    267.51x = 77,144.04
  5. Step 5: Solve for x
    x = 77,144.04/267.51
  6. Step 6: Final answer
    x = 288.38

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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.