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Finding the Fourth Proportional to 462.10, 692.81 and 153.77

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Solution

The fourth proportional to 462.10, 692.81 and 153.77 is: 230.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.10 : 692.81 = 153.77 : x
  2. Step 2: Convert to fraction form
    462.10/692.81 = 153.77/x
  3. Step 3: Cross multiply
    462.10x = 692.81 × 153.77
  4. Step 4: Simplify right side
    462.10x = 106,532.62
  5. Step 5: Solve for x
    x = 106,532.62/462.10
  6. Step 6: Final answer
    x = 230.54

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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.