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Finding the Fourth Proportional to 262.84, 362.51 and 169.59

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Solution

The fourth proportional to 262.84, 362.51 and 169.59 is: 233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.84 : 362.51 = 169.59 : x
  2. Step 2: Convert to fraction form
    262.84/362.51 = 169.59/x
  3. Step 3: Cross multiply
    262.84x = 362.51 × 169.59
  4. Step 4: Simplify right side
    262.84x = 61,478.07
  5. Step 5: Solve for x
    x = 61,478.07/262.84
  6. Step 6: Final answer
    x = 233.90

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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.