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Finding the Fourth Proportional to 462.23, 692.82 and 188.28

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Solution

The fourth proportional to 462.23, 692.82 and 188.28 is: 282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.23 : 692.82 = 188.28 : x
  2. Step 2: Convert to fraction form
    462.23/692.82 = 188.28/x
  3. Step 3: Cross multiply
    462.23x = 692.82 × 188.28
  4. Step 4: Simplify right side
    462.23x = 130,444.15
  5. Step 5: Solve for x
    x = 130,444.15/462.23
  6. Step 6: Final answer
    x = 282.21

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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.