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Finding the Fourth Proportional to 462.04, 692.56 and 188.12

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Solution

The fourth proportional to 462.04, 692.56 and 188.12 is: 281.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.04 : 692.56 = 188.12 : x
  2. Step 2: Convert to fraction form
    462.04/692.56 = 188.12/x
  3. Step 3: Cross multiply
    462.04x = 692.56 × 188.12
  4. Step 4: Simplify right side
    462.04x = 130,284.39
  5. Step 5: Solve for x
    x = 130,284.39/462.04
  6. Step 6: Final answer
    x = 281.98

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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.