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Finding the Fourth Proportional to 265.98, 398.30 and 192.55

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Solution

The fourth proportional to 265.98, 398.30 and 192.55 is: 288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.98 : 398.30 = 192.55 : x
  2. Step 2: Convert to fraction form
    265.98/398.30 = 192.55/x
  3. Step 3: Cross multiply
    265.98x = 398.30 × 192.55
  4. Step 4: Simplify right side
    265.98x = 76,692.67
  5. Step 5: Solve for x
    x = 76,692.67/265.98
  6. Step 6: Final answer
    x = 288.34

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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.