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Finding the Fourth Proportional to 461.51, 692.27 and 136.89

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Solution

The fourth proportional to 461.51, 692.27 and 136.89 is: 205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.51 : 692.27 = 136.89 : x
  2. Step 2: Convert to fraction form
    461.51/692.27 = 136.89/x
  3. Step 3: Cross multiply
    461.51x = 692.27 × 136.89
  4. Step 4: Simplify right side
    461.51x = 94,764.16
  5. Step 5: Solve for x
    x = 94,764.16/461.51
  6. Step 6: Final answer
    x = 205.34

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