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Finding the Fourth Proportional to 461.99, 692.85 and 153.77

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Solution

The fourth proportional to 461.99, 692.85 and 153.77 is: 230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.99 : 692.85 = 153.77 : x
  2. Step 2: Convert to fraction form
    461.99/692.85 = 153.77/x
  3. Step 3: Cross multiply
    461.99x = 692.85 × 153.77
  4. Step 4: Simplify right side
    461.99x = 106,541.23
  5. Step 5: Solve for x
    x = 106,541.23/461.99
  6. Step 6: Final answer
    x = 230.61

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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.