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Finding the Fourth Proportional to 461.21, 692 and 242

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Solution

The fourth proportional to 461.21, 692 and 242 is: 363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.21 : 692 = 242 : x
  2. Step 2: Convert to fraction form
    461.21/692 = 242/x
  3. Step 3: Cross multiply
    461.21x = 692 × 242
  4. Step 4: Simplify right side
    461.21x = 167,464
  5. Step 5: Solve for x
    x = 167,464/461.21
  6. Step 6: Final answer
    x = 363.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.