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Finding the Fourth Proportional to 461.64, 692.23 and 168.93

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Solution

The fourth proportional to 461.64, 692.23 and 168.93 is: 253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.64 : 692.23 = 168.93 : x
  2. Step 2: Convert to fraction form
    461.64/692.23 = 168.93/x
  3. Step 3: Cross multiply
    461.64x = 692.23 × 168.93
  4. Step 4: Simplify right side
    461.64x = 116,938.41
  5. Step 5: Solve for x
    x = 116,938.41/461.64
  6. Step 6: Final answer
    x = 253.31

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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.