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Finding the Fourth Proportional to 262.85, 362.97 and 229.59

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Solution

The fourth proportional to 262.85, 362.97 and 229.59 is: 317.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.85 : 362.97 = 229.59 : x
  2. Step 2: Convert to fraction form
    262.85/362.97 = 229.59/x
  3. Step 3: Cross multiply
    262.85x = 362.97 × 229.59
  4. Step 4: Simplify right side
    262.85x = 83,334.28
  5. Step 5: Solve for x
    x = 83,334.28/262.85
  6. Step 6: Final answer
    x = 317.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.