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Finding the Fourth Proportional to 461.51, 692.37 and 153.35

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Solution

The fourth proportional to 461.51, 692.37 and 153.35 is: 230.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.51 : 692.37 = 153.35 : x
  2. Step 2: Convert to fraction form
    461.51/692.37 = 153.35/x
  3. Step 3: Cross multiply
    461.51x = 692.37 × 153.35
  4. Step 4: Simplify right side
    461.51x = 106,174.94
  5. Step 5: Solve for x
    x = 106,174.94/461.51
  6. Step 6: Final answer
    x = 230.06

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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.