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Finding the Fourth Proportional to 267.84, 403.56 and 242.19

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Solution

The fourth proportional to 267.84, 403.56 and 242.19 is: 364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.84 : 403.56 = 242.19 : x
  2. Step 2: Convert to fraction form
    267.84/403.56 = 242.19/x
  3. Step 3: Cross multiply
    267.84x = 403.56 × 242.19
  4. Step 4: Simplify right side
    267.84x = 97,738.20
  5. Step 5: Solve for x
    x = 97,738.20/267.84
  6. Step 6: Final answer
    x = 364.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.